Sharp Gaussian Estimates for Heat Kernels of Schrödinger Operators View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-02

AUTHORS

Krzysztof Bogdan, Jacek Dziubański, Karol Szczypkowski

ABSTRACT

We characterize functions V≤0 for which the heat kernel of the Schrödinger operator Δ+V is comparable with the Gauss–Weierstrass kernel uniformly in space and time. In dimension 4 and higher the condition turns out to be more restrictive than the condition of the boundedness of the Newtonian potential of V. This resolves the question of V. Liskevich and Y. Semenov posed in 1998. We also give specialized sufficient conditions for the comparability, showing that local Lp integrability of V for p>1 is not necessary for the comparability. More... »

PAGES

3

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-019-2501-y

DOI

http://dx.doi.org/10.1007/s00020-019-2501-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111606445


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/1109", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Neurosciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Medical and Health Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Wroc\u0142aw", 
          "id": "https://www.grid.ac/institutes/grid.8505.8", 
          "name": [
            "Wroc\u0142aw University of Science and Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370, Wroc\u0142aw, Poland"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Bogdan", 
        "givenName": "Krzysztof", 
        "id": "sg:person.010127641555.12", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010127641555.12"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Wroc\u0142aw", 
          "id": "https://www.grid.ac/institutes/grid.8505.8", 
          "name": [
            "University of Wroc\u0142aw, Pl. Grunwaldzki 2/4, 50-384, Wroc\u0142aw, Poland"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dziuba\u0144ski", 
        "givenName": "Jacek", 
        "id": "sg:person.016034174427.09", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016034174427.09"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Bielefeld University", 
          "id": "https://www.grid.ac/institutes/grid.7491.b", 
          "name": [
            "Wroc\u0142aw University of Science and Technology, Wybrze\u017ce Wyspia\u0144skiego 27, 50-370, Wroc\u0142aw, Poland", 
            "Universit\u00e4t Bielefeld, Postfach 10 01 31, 33501, Bielefeld, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Szczypkowski", 
        "givenName": "Karol", 
        "id": "sg:person.013252577034.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013252577034.59"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.jfa.2006.04.010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001798039"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s000130050355", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002812240", 
          "https://doi.org/10.1007/s000130050355"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s000130050355", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002812240", 
          "https://doi.org/10.1007/s000130050355"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cpa.3160350206", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003305867"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cpa.3160350206", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003305867"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11118-009-9123-y", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005207862", 
          "https://doi.org/10.1007/s11118-009-9123-y"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11118-009-9123-y", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005207862", 
          "https://doi.org/10.1007/s11118-009-9123-y"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-1236(79)90068-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006761203"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/s002460930300211x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011568910"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00028-012-0164-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020788315", 
          "https://doi.org/10.1007/s00028-012-0164-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9947-96-01675-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024901544"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/s0024609398004664", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028298832"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-1236(03)00018-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037877170"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-1236(03)00018-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037877170"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02677479", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041314653", 
          "https://doi.org/10.1007/bf02677479"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02677479", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041314653", 
          "https://doi.org/10.1007/bf02677479"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0273-0979-1982-15041-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047628941"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/s0024610700001332", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052222770"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10231-004-0116-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053578057", 
          "https://doi.org/10.1007/s10231-004-0116-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-1236(86)90036-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054544512"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1512/iumj.1997.46.1112", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1067512968"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4064/sm189-3-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072184927"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4064/sm221-2-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072185443"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11118-017-9614-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1074222899", 
          "https://doi.org/10.1007/s11118-017-9614-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11118-017-9614-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1074222899", 
          "https://doi.org/10.1007/s11118-017-9614-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/5972", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098905865"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-02", 
    "datePublishedReg": "2019-02-01", 
    "description": "We characterize functions V\u22640 for which the heat kernel of the Schr\u00f6dinger operator \u0394+V is comparable with the Gauss\u2013Weierstrass kernel uniformly in space and time. In dimension 4 and higher the condition turns out to be more restrictive than the condition of the boundedness of the Newtonian potential of V. This resolves the question of V. Liskevich and Y. Semenov posed in 1998. We also give specialized sufficient conditions for the comparability, showing that local Lp integrability of V for p>1 is not necessary for the comparability.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00020-019-2501-y", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isFundedItemOf": [
      {
        "id": "sg:grant.5062324", 
        "type": "MonetaryGrant"
      }, 
      {
        "id": "sg:grant.4705480", 
        "type": "MonetaryGrant"
      }, 
      {
        "id": "sg:grant.7391275", 
        "type": "MonetaryGrant"
      }
    ], 
    "isPartOf": [
      {
        "id": "sg:journal.1136245", 
        "issn": [
          "0378-620X", 
          "1420-8989"
        ], 
        "name": "Integral Equations and Operator Theory", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "91"
      }
    ], 
    "name": "Sharp Gaussian Estimates for Heat Kernels of Schr\u00f6dinger Operators", 
    "pagination": "3", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8dd5b4ae42c676957cc0644f0cc8f756b16098a61f5d41f7cd575791337010db"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00020-019-2501-y"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1111606445"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00020-019-2501-y", 
      "https://app.dimensions.ai/details/publication/pub.1111606445"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T09:12", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000338_0000000338/records_47985_00000002.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs00020-019-2501-y"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2501-y'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2501-y'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2501-y'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2501-y'


 

This table displays all metadata directly associated to this object as RDF triples.

152 TRIPLES      21 PREDICATES      47 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00020-019-2501-y schema:about anzsrc-for:11
2 anzsrc-for:1109
3 schema:author N2b41054e17b84c0ebfe2d127b4e8a752
4 schema:citation sg:pub.10.1007/bf02677479
5 sg:pub.10.1007/s000130050355
6 sg:pub.10.1007/s00028-012-0164-0
7 sg:pub.10.1007/s10231-004-0116-6
8 sg:pub.10.1007/s11118-009-9123-y
9 sg:pub.10.1007/s11118-017-9614-1
10 https://doi.org/10.1002/cpa.3160350206
11 https://doi.org/10.1016/0022-1236(79)90068-5
12 https://doi.org/10.1016/0022-1236(86)90036-4
13 https://doi.org/10.1016/j.jfa.2006.04.010
14 https://doi.org/10.1016/s0022-1236(03)00018-1
15 https://doi.org/10.1090/s0002-9947-96-01675-3
16 https://doi.org/10.1090/s0273-0979-1982-15041-8
17 https://doi.org/10.1112/s002460930300211x
18 https://doi.org/10.1112/s0024609398004664
19 https://doi.org/10.1112/s0024610700001332
20 https://doi.org/10.1142/5972
21 https://doi.org/10.1512/iumj.1997.46.1112
22 https://doi.org/10.4064/sm189-3-3
23 https://doi.org/10.4064/sm221-2-4
24 schema:datePublished 2019-02
25 schema:datePublishedReg 2019-02-01
26 schema:description We characterize functions V≤0 for which the heat kernel of the Schrödinger operator Δ+V is comparable with the Gauss–Weierstrass kernel uniformly in space and time. In dimension 4 and higher the condition turns out to be more restrictive than the condition of the boundedness of the Newtonian potential of V. This resolves the question of V. Liskevich and Y. Semenov posed in 1998. We also give specialized sufficient conditions for the comparability, showing that local Lp integrability of V for p>1 is not necessary for the comparability.
27 schema:genre research_article
28 schema:inLanguage en
29 schema:isAccessibleForFree false
30 schema:isPartOf N53f92f09796f4ab49383d003569a2e86
31 Ne7333aa1dd0f415eae2c72bc32ffb3fa
32 sg:journal.1136245
33 schema:name Sharp Gaussian Estimates for Heat Kernels of Schrödinger Operators
34 schema:pagination 3
35 schema:productId N080a4a8b7fc1438bb3b2d7a06b7e4296
36 N4b08b88115714c0fb7f4d5361c8fb2ad
37 N5054a68e897c4bd09811f62c8f1bd4d5
38 schema:sameAs https://app.dimensions.ai/details/publication/pub.1111606445
39 https://doi.org/10.1007/s00020-019-2501-y
40 schema:sdDatePublished 2019-04-11T09:12
41 schema:sdLicense https://scigraph.springernature.com/explorer/license/
42 schema:sdPublisher N4c38b23c712b4b2b9b9237cce1bf3aab
43 schema:url https://link.springer.com/10.1007%2Fs00020-019-2501-y
44 sgo:license sg:explorer/license/
45 sgo:sdDataset articles
46 rdf:type schema:ScholarlyArticle
47 N080a4a8b7fc1438bb3b2d7a06b7e4296 schema:name doi
48 schema:value 10.1007/s00020-019-2501-y
49 rdf:type schema:PropertyValue
50 N2b41054e17b84c0ebfe2d127b4e8a752 rdf:first sg:person.010127641555.12
51 rdf:rest N543061ed8ed54a7aa13561c64fa48969
52 N3d5536c7e0054c99a40c0f7c6150c1bd rdf:first sg:person.013252577034.59
53 rdf:rest rdf:nil
54 N4b08b88115714c0fb7f4d5361c8fb2ad schema:name readcube_id
55 schema:value 8dd5b4ae42c676957cc0644f0cc8f756b16098a61f5d41f7cd575791337010db
56 rdf:type schema:PropertyValue
57 N4c38b23c712b4b2b9b9237cce1bf3aab schema:name Springer Nature - SN SciGraph project
58 rdf:type schema:Organization
59 N5054a68e897c4bd09811f62c8f1bd4d5 schema:name dimensions_id
60 schema:value pub.1111606445
61 rdf:type schema:PropertyValue
62 N53f92f09796f4ab49383d003569a2e86 schema:volumeNumber 91
63 rdf:type schema:PublicationVolume
64 N543061ed8ed54a7aa13561c64fa48969 rdf:first sg:person.016034174427.09
65 rdf:rest N3d5536c7e0054c99a40c0f7c6150c1bd
66 Ne7333aa1dd0f415eae2c72bc32ffb3fa schema:issueNumber 1
67 rdf:type schema:PublicationIssue
68 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
69 schema:name Medical and Health Sciences
70 rdf:type schema:DefinedTerm
71 anzsrc-for:1109 schema:inDefinedTermSet anzsrc-for:
72 schema:name Neurosciences
73 rdf:type schema:DefinedTerm
74 sg:grant.4705480 http://pending.schema.org/fundedItem sg:pub.10.1007/s00020-019-2501-y
75 rdf:type schema:MonetaryGrant
76 sg:grant.5062324 http://pending.schema.org/fundedItem sg:pub.10.1007/s00020-019-2501-y
77 rdf:type schema:MonetaryGrant
78 sg:grant.7391275 http://pending.schema.org/fundedItem sg:pub.10.1007/s00020-019-2501-y
79 rdf:type schema:MonetaryGrant
80 sg:journal.1136245 schema:issn 0378-620X
81 1420-8989
82 schema:name Integral Equations and Operator Theory
83 rdf:type schema:Periodical
84 sg:person.010127641555.12 schema:affiliation https://www.grid.ac/institutes/grid.8505.8
85 schema:familyName Bogdan
86 schema:givenName Krzysztof
87 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010127641555.12
88 rdf:type schema:Person
89 sg:person.013252577034.59 schema:affiliation https://www.grid.ac/institutes/grid.7491.b
90 schema:familyName Szczypkowski
91 schema:givenName Karol
92 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013252577034.59
93 rdf:type schema:Person
94 sg:person.016034174427.09 schema:affiliation https://www.grid.ac/institutes/grid.8505.8
95 schema:familyName Dziubański
96 schema:givenName Jacek
97 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016034174427.09
98 rdf:type schema:Person
99 sg:pub.10.1007/bf02677479 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041314653
100 https://doi.org/10.1007/bf02677479
101 rdf:type schema:CreativeWork
102 sg:pub.10.1007/s000130050355 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002812240
103 https://doi.org/10.1007/s000130050355
104 rdf:type schema:CreativeWork
105 sg:pub.10.1007/s00028-012-0164-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020788315
106 https://doi.org/10.1007/s00028-012-0164-0
107 rdf:type schema:CreativeWork
108 sg:pub.10.1007/s10231-004-0116-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053578057
109 https://doi.org/10.1007/s10231-004-0116-6
110 rdf:type schema:CreativeWork
111 sg:pub.10.1007/s11118-009-9123-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1005207862
112 https://doi.org/10.1007/s11118-009-9123-y
113 rdf:type schema:CreativeWork
114 sg:pub.10.1007/s11118-017-9614-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1074222899
115 https://doi.org/10.1007/s11118-017-9614-1
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1002/cpa.3160350206 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003305867
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1016/0022-1236(79)90068-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006761203
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1016/0022-1236(86)90036-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054544512
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1016/j.jfa.2006.04.010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001798039
124 rdf:type schema:CreativeWork
125 https://doi.org/10.1016/s0022-1236(03)00018-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037877170
126 rdf:type schema:CreativeWork
127 https://doi.org/10.1090/s0002-9947-96-01675-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024901544
128 rdf:type schema:CreativeWork
129 https://doi.org/10.1090/s0273-0979-1982-15041-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047628941
130 rdf:type schema:CreativeWork
131 https://doi.org/10.1112/s002460930300211x schema:sameAs https://app.dimensions.ai/details/publication/pub.1011568910
132 rdf:type schema:CreativeWork
133 https://doi.org/10.1112/s0024609398004664 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028298832
134 rdf:type schema:CreativeWork
135 https://doi.org/10.1112/s0024610700001332 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052222770
136 rdf:type schema:CreativeWork
137 https://doi.org/10.1142/5972 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098905865
138 rdf:type schema:CreativeWork
139 https://doi.org/10.1512/iumj.1997.46.1112 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067512968
140 rdf:type schema:CreativeWork
141 https://doi.org/10.4064/sm189-3-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072184927
142 rdf:type schema:CreativeWork
143 https://doi.org/10.4064/sm221-2-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072185443
144 rdf:type schema:CreativeWork
145 https://www.grid.ac/institutes/grid.7491.b schema:alternateName Bielefeld University
146 schema:name Universität Bielefeld, Postfach 10 01 31, 33501, Bielefeld, Germany
147 Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland
148 rdf:type schema:Organization
149 https://www.grid.ac/institutes/grid.8505.8 schema:alternateName University of Wrocław
150 schema:name University of Wrocław, Pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland
151 Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland
152 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...