Front propagation for discrete periodic monostable equations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2006-07

AUTHORS

Jong-Shenq Guo, François Hamel

ABSTRACT

This paper deals with front propagation for discrete periodic monostable equations. We show that there is a minimal wave speed such that a pulsating traveling front solution exists if and only if the wave speed is above this minimal speed. Moreover, in comparing with the continuous case, we prove the convergence of discretized minimal wave speeds to the continuous minimal wave speed. More... »

PAGES

489-525

Journal

TITLE

Mathematische Annalen

ISSUE

3

VOLUME

335

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00208-005-0729-0

DOI

http://dx.doi.org/10.1007/s00208-005-0729-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1005375808


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/2008/0911", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Maritime Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "National Taiwan Normal University", 
          "id": "https://www.grid.ac/institutes/grid.412090.e", 
          "name": [
            "Department of Mathematics, National Taiwan Normal University, 88, S-4, Ting Chou Road, 117, Taipei, Taiwan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Guo", 
        "givenName": "Jong-Shenq", 
        "id": "sg:person.015744612003.23", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015744612003.23"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Universit\u00e9 Paul C\u00e9zanne Aix-Marseille III, LATP (UMR CNRS 6632) F.S.T, Avenue Escadrille Normandie-Niemen, F-13397, Marseille Cedex 20, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hamel", 
        "givenName": "Fran\u00e7ois", 
        "id": "sg:person.01126773333.74", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01126773333.74"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0040-5809(86)90029-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000422439"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01052815", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002608986", 
          "https://doi.org/10.1007/bf01052815"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00380794", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004971288", 
          "https://doi.org/10.1007/bf00380794"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00380794", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004971288", 
          "https://doi.org/10.1007/bf00380794"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jdeq.2001.4153", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007731214"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01049099", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009685131", 
          "https://doi.org/10.1007/bf01049099"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cpa.3022", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012826815"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00285-002-0169-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018051159", 
          "https://doi.org/10.1007/s00285-002-0169-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00410613", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022476954", 
          "https://doi.org/10.1007/bf00410613"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00410613", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022476954", 
          "https://doi.org/10.1007/bf00410613"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jdeq.1998.3478", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028029011"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.matpur.2004.10.006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032135211"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-93111-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036634600", 
          "https://doi.org/10.1007/978-3-642-93111-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-93111-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036634600", 
          "https://doi.org/10.1007/978-3-642-93111-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-0396(92)90142-a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036953683"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00208-003-0414-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037690143", 
          "https://doi.org/10.1007/s00208-003-0414-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jdeq.1993.1082", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040574545"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00285-004-0313-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043375645", 
          "https://doi.org/10.1007/s00285-004-0313-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00285-004-0313-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043375645", 
          "https://doi.org/10.1007/s00285-004-0313-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0147038", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062840514"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/s0036144599364296", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062878029"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aop/1176992901", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064404501"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4171/jems/26", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072317848"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/9789812812841_0016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1088701009"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2006-07", 
    "datePublishedReg": "2006-07-01", 
    "description": "This paper deals with front propagation for discrete periodic monostable equations. We show that there is a minimal wave speed such that a pulsating traveling front solution exists if and only if the wave speed is above this minimal speed. Moreover, in comparing with the continuous case, we prove the convergence of discretized minimal wave speeds to the continuous minimal wave speed.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00208-005-0729-0", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1120885", 
        "issn": [
          "0025-5831", 
          "1432-1807"
        ], 
        "name": "Mathematische Annalen", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "335"
      }
    ], 
    "name": "Front propagation for discrete periodic monostable equations", 
    "pagination": "489-525", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "199ca235fbbf55160acf518ddbbaddc3e29ac88999549c75fb46795c34d1d75f"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00208-005-0729-0"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1005375808"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00208-005-0729-0", 
      "https://app.dimensions.ai/details/publication/pub.1005375808"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T14:28", 
    "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/v90/0000000373_0000000373/records_13084_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs00208-005-0729-0"
  }
]
 

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/s00208-005-0729-0'

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/s00208-005-0729-0'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00208-005-0729-0'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00208-005-0729-0'


 

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

138 TRIPLES      21 PREDICATES      47 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00208-005-0729-0 schema:about anzsrc-for:09
2 anzsrc-for:0911
3 schema:author N43a1bcac8306402798559ff875ee2981
4 schema:citation sg:pub.10.1007/978-3-642-93111-6
5 sg:pub.10.1007/bf00380794
6 sg:pub.10.1007/bf00410613
7 sg:pub.10.1007/bf01049099
8 sg:pub.10.1007/bf01052815
9 sg:pub.10.1007/s00208-003-0414-0
10 sg:pub.10.1007/s00285-002-0169-3
11 sg:pub.10.1007/s00285-004-0313-3
12 https://doi.org/10.1002/cpa.3022
13 https://doi.org/10.1006/jdeq.1993.1082
14 https://doi.org/10.1006/jdeq.1998.3478
15 https://doi.org/10.1006/jdeq.2001.4153
16 https://doi.org/10.1016/0022-0396(92)90142-a
17 https://doi.org/10.1016/0040-5809(86)90029-8
18 https://doi.org/10.1016/j.matpur.2004.10.006
19 https://doi.org/10.1137/0147038
20 https://doi.org/10.1137/s0036144599364296
21 https://doi.org/10.1142/9789812812841_0016
22 https://doi.org/10.1214/aop/1176992901
23 https://doi.org/10.4171/jems/26
24 schema:datePublished 2006-07
25 schema:datePublishedReg 2006-07-01
26 schema:description This paper deals with front propagation for discrete periodic monostable equations. We show that there is a minimal wave speed such that a pulsating traveling front solution exists if and only if the wave speed is above this minimal speed. Moreover, in comparing with the continuous case, we prove the convergence of discretized minimal wave speeds to the continuous minimal wave speed.
27 schema:genre research_article
28 schema:inLanguage en
29 schema:isAccessibleForFree true
30 schema:isPartOf N47f72d1545a84758b7f123f83c30eba1
31 Nf96731e0769c4cf2a23293cc6f555446
32 sg:journal.1120885
33 schema:name Front propagation for discrete periodic monostable equations
34 schema:pagination 489-525
35 schema:productId N47b3b391b6e240498aeaf7c4162ce4cf
36 N6758887220764b909bfe8866d07b0f73
37 Nb9978ee9458c45d88e98dfc23832400b
38 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005375808
39 https://doi.org/10.1007/s00208-005-0729-0
40 schema:sdDatePublished 2019-04-11T14:28
41 schema:sdLicense https://scigraph.springernature.com/explorer/license/
42 schema:sdPublisher N8ea0b44144f1465a86306754baeca475
43 schema:url http://link.springer.com/10.1007%2Fs00208-005-0729-0
44 sgo:license sg:explorer/license/
45 sgo:sdDataset articles
46 rdf:type schema:ScholarlyArticle
47 N43a1bcac8306402798559ff875ee2981 rdf:first sg:person.015744612003.23
48 rdf:rest Ndc66b25800754d86997035c046e72b08
49 N47b3b391b6e240498aeaf7c4162ce4cf schema:name readcube_id
50 schema:value 199ca235fbbf55160acf518ddbbaddc3e29ac88999549c75fb46795c34d1d75f
51 rdf:type schema:PropertyValue
52 N47f72d1545a84758b7f123f83c30eba1 schema:volumeNumber 335
53 rdf:type schema:PublicationVolume
54 N486dac6ea7184b438acd080085bacbcc schema:name Université Paul Cézanne Aix-Marseille III, LATP (UMR CNRS 6632) F.S.T, Avenue Escadrille Normandie-Niemen, F-13397, Marseille Cedex 20, France
55 rdf:type schema:Organization
56 N6758887220764b909bfe8866d07b0f73 schema:name doi
57 schema:value 10.1007/s00208-005-0729-0
58 rdf:type schema:PropertyValue
59 N8ea0b44144f1465a86306754baeca475 schema:name Springer Nature - SN SciGraph project
60 rdf:type schema:Organization
61 Nb9978ee9458c45d88e98dfc23832400b schema:name dimensions_id
62 schema:value pub.1005375808
63 rdf:type schema:PropertyValue
64 Ndc66b25800754d86997035c046e72b08 rdf:first sg:person.01126773333.74
65 rdf:rest rdf:nil
66 Nf96731e0769c4cf2a23293cc6f555446 schema:issueNumber 3
67 rdf:type schema:PublicationIssue
68 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
69 schema:name Engineering
70 rdf:type schema:DefinedTerm
71 anzsrc-for:0911 schema:inDefinedTermSet anzsrc-for:
72 schema:name Maritime Engineering
73 rdf:type schema:DefinedTerm
74 sg:journal.1120885 schema:issn 0025-5831
75 1432-1807
76 schema:name Mathematische Annalen
77 rdf:type schema:Periodical
78 sg:person.01126773333.74 schema:affiliation N486dac6ea7184b438acd080085bacbcc
79 schema:familyName Hamel
80 schema:givenName François
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01126773333.74
82 rdf:type schema:Person
83 sg:person.015744612003.23 schema:affiliation https://www.grid.ac/institutes/grid.412090.e
84 schema:familyName Guo
85 schema:givenName Jong-Shenq
86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015744612003.23
87 rdf:type schema:Person
88 sg:pub.10.1007/978-3-642-93111-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036634600
89 https://doi.org/10.1007/978-3-642-93111-6
90 rdf:type schema:CreativeWork
91 sg:pub.10.1007/bf00380794 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004971288
92 https://doi.org/10.1007/bf00380794
93 rdf:type schema:CreativeWork
94 sg:pub.10.1007/bf00410613 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022476954
95 https://doi.org/10.1007/bf00410613
96 rdf:type schema:CreativeWork
97 sg:pub.10.1007/bf01049099 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009685131
98 https://doi.org/10.1007/bf01049099
99 rdf:type schema:CreativeWork
100 sg:pub.10.1007/bf01052815 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002608986
101 https://doi.org/10.1007/bf01052815
102 rdf:type schema:CreativeWork
103 sg:pub.10.1007/s00208-003-0414-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037690143
104 https://doi.org/10.1007/s00208-003-0414-0
105 rdf:type schema:CreativeWork
106 sg:pub.10.1007/s00285-002-0169-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018051159
107 https://doi.org/10.1007/s00285-002-0169-3
108 rdf:type schema:CreativeWork
109 sg:pub.10.1007/s00285-004-0313-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043375645
110 https://doi.org/10.1007/s00285-004-0313-3
111 rdf:type schema:CreativeWork
112 https://doi.org/10.1002/cpa.3022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012826815
113 rdf:type schema:CreativeWork
114 https://doi.org/10.1006/jdeq.1993.1082 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040574545
115 rdf:type schema:CreativeWork
116 https://doi.org/10.1006/jdeq.1998.3478 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028029011
117 rdf:type schema:CreativeWork
118 https://doi.org/10.1006/jdeq.2001.4153 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007731214
119 rdf:type schema:CreativeWork
120 https://doi.org/10.1016/0022-0396(92)90142-a schema:sameAs https://app.dimensions.ai/details/publication/pub.1036953683
121 rdf:type schema:CreativeWork
122 https://doi.org/10.1016/0040-5809(86)90029-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000422439
123 rdf:type schema:CreativeWork
124 https://doi.org/10.1016/j.matpur.2004.10.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032135211
125 rdf:type schema:CreativeWork
126 https://doi.org/10.1137/0147038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062840514
127 rdf:type schema:CreativeWork
128 https://doi.org/10.1137/s0036144599364296 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062878029
129 rdf:type schema:CreativeWork
130 https://doi.org/10.1142/9789812812841_0016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1088701009
131 rdf:type schema:CreativeWork
132 https://doi.org/10.1214/aop/1176992901 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064404501
133 rdf:type schema:CreativeWork
134 https://doi.org/10.4171/jems/26 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072317848
135 rdf:type schema:CreativeWork
136 https://www.grid.ac/institutes/grid.412090.e schema:alternateName National Taiwan Normal University
137 schema:name Department of Mathematics, National Taiwan Normal University, 88, S-4, Ting Chou Road, 117, Taipei, Taiwan
138 rdf:type schema:Organization
 




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


...