Controllability and Lack of Controllability with Smooth Controls in Viscoelasticity via Moment Methods View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-06

AUTHORS

Luciano Pandolfi

ABSTRACT

In this paper we study controllability of a linear equation with persistent memory when the control belongs to H0k(0,T;L2(Ω)). In the case the memory is zero, our equation is reduced to the wave equation and a result due to Everdoza and Zuazua informally states that smoother targets can be reached by using smoother controls. In this paper we prove that this result can be partially extended to systems with memory, but that the memory is an obstruction to a complete extensions. More... »

PAGES

33

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-018-2462-6

DOI

http://dx.doi.org/10.1007/s00020-018-2462-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1103973653


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/2008/0906", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Electrical and Electronic 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": "Polytechnic University of Turin", 
          "id": "https://www.grid.ac/institutes/grid.4800.c", 
          "name": [
            "Dipartimento di Scienze Matematiche \u201cGiuseppe Luigi Lagrange\u201d (retired), Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Pandolfi", 
        "givenName": "Luciano", 
        "id": "sg:person.012351424331.97", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012351424331.97"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1002/sapm1973523189", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008239731"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1015716591", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4614-5808-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015716591", 
          "https://doi.org/10.1007/978-1-4614-5808-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4614-5808-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015716591", 
          "https://doi.org/10.1007/978-1-4614-5808-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aml.2015.07.005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023885023"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00245-005-0819-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031234182", 
          "https://doi.org/10.1007/s00245-005-0819-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01442108", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037211069", 
          "https://doi.org/10.1007/bf01442108"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01442108", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037211069", 
          "https://doi.org/10.1007/bf01442108"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-319-12247-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046538367", 
          "https://doi.org/10.1007/978-3-319-12247-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-319-12247-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046538367", 
          "https://doi.org/10.1007/978-3-319-12247-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1051/cocv/2016068", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1056952180"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0330055", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062844383"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1216/jie-2015-27-1-103", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064427321"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdsb.2010.14.1375", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071736505"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdsb.2010.14.1487", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071736512"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018-06", 
    "datePublishedReg": "2018-06-01", 
    "description": "In this paper we study controllability of a linear equation with persistent memory when the control belongs to H0k(0,T;L2(\u03a9)). In the case the memory is zero, our equation is reduced to the wave equation and a result due to Everdoza and Zuazua informally states that smoother targets can be reached by using smoother controls. In this paper we prove that this result can be partially extended to systems with memory, but that the memory is an obstruction to a complete extensions.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00020-018-2462-6", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136245", 
        "issn": [
          "0378-620X", 
          "1420-8989"
        ], 
        "name": "Integral Equations and Operator Theory", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "90"
      }
    ], 
    "name": "Controllability and Lack of Controllability with Smooth Controls in Viscoelasticity via Moment Methods", 
    "pagination": "33", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "9d42ea7158ae0ef4655b9ea2b376859a5db0a13330a52e479c3ac03edd431a4a"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00020-018-2462-6"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1103973653"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00020-018-2462-6", 
      "https://app.dimensions.ai/details/publication/pub.1103973653"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T10:39", 
    "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/v90/0000000349_0000000349/records_113679_00000004.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs00020-018-2462-6"
  }
]
 

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/s00020-018-2462-6'

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/s00020-018-2462-6'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00020-018-2462-6'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00020-018-2462-6'


 

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

100 TRIPLES      21 PREDICATES      39 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00020-018-2462-6 schema:about anzsrc-for:09
2 anzsrc-for:0906
3 schema:author N7b90c7870e494be3afb5bd379ce4736c
4 schema:citation sg:pub.10.1007/978-1-4614-5808-1
5 sg:pub.10.1007/978-3-319-12247-2
6 sg:pub.10.1007/bf01442108
7 sg:pub.10.1007/s00245-005-0819-0
8 https://app.dimensions.ai/details/publication/pub.1015716591
9 https://doi.org/10.1002/sapm1973523189
10 https://doi.org/10.1016/j.aml.2015.07.005
11 https://doi.org/10.1051/cocv/2016068
12 https://doi.org/10.1137/0330055
13 https://doi.org/10.1216/jie-2015-27-1-103
14 https://doi.org/10.3934/dcdsb.2010.14.1375
15 https://doi.org/10.3934/dcdsb.2010.14.1487
16 schema:datePublished 2018-06
17 schema:datePublishedReg 2018-06-01
18 schema:description In this paper we study controllability of a linear equation with persistent memory when the control belongs to H0k(0,T;L2(Ω)). In the case the memory is zero, our equation is reduced to the wave equation and a result due to Everdoza and Zuazua informally states that smoother targets can be reached by using smoother controls. In this paper we prove that this result can be partially extended to systems with memory, but that the memory is an obstruction to a complete extensions.
19 schema:genre research_article
20 schema:inLanguage en
21 schema:isAccessibleForFree true
22 schema:isPartOf N21a67a1a7b0a46389d3cb3efc3982c2e
23 N22e5913f76ca4ee6ab6cc07784deaa8e
24 sg:journal.1136245
25 schema:name Controllability and Lack of Controllability with Smooth Controls in Viscoelasticity via Moment Methods
26 schema:pagination 33
27 schema:productId Nac71eecbc50d42c0bea10a070461f64b
28 Nb2f248467b744942b94c3ba0a0e2591e
29 Ndcac63b4e06d42beae892d7f1a90c51a
30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103973653
31 https://doi.org/10.1007/s00020-018-2462-6
32 schema:sdDatePublished 2019-04-11T10:39
33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
34 schema:sdPublisher Na0eb79699e4d4041aee25c3e4ce99001
35 schema:url https://link.springer.com/10.1007%2Fs00020-018-2462-6
36 sgo:license sg:explorer/license/
37 sgo:sdDataset articles
38 rdf:type schema:ScholarlyArticle
39 N21a67a1a7b0a46389d3cb3efc3982c2e schema:issueNumber 3
40 rdf:type schema:PublicationIssue
41 N22e5913f76ca4ee6ab6cc07784deaa8e schema:volumeNumber 90
42 rdf:type schema:PublicationVolume
43 N7b90c7870e494be3afb5bd379ce4736c rdf:first sg:person.012351424331.97
44 rdf:rest rdf:nil
45 Na0eb79699e4d4041aee25c3e4ce99001 schema:name Springer Nature - SN SciGraph project
46 rdf:type schema:Organization
47 Nac71eecbc50d42c0bea10a070461f64b schema:name doi
48 schema:value 10.1007/s00020-018-2462-6
49 rdf:type schema:PropertyValue
50 Nb2f248467b744942b94c3ba0a0e2591e schema:name readcube_id
51 schema:value 9d42ea7158ae0ef4655b9ea2b376859a5db0a13330a52e479c3ac03edd431a4a
52 rdf:type schema:PropertyValue
53 Ndcac63b4e06d42beae892d7f1a90c51a schema:name dimensions_id
54 schema:value pub.1103973653
55 rdf:type schema:PropertyValue
56 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
57 schema:name Engineering
58 rdf:type schema:DefinedTerm
59 anzsrc-for:0906 schema:inDefinedTermSet anzsrc-for:
60 schema:name Electrical and Electronic Engineering
61 rdf:type schema:DefinedTerm
62 sg:journal.1136245 schema:issn 0378-620X
63 1420-8989
64 schema:name Integral Equations and Operator Theory
65 rdf:type schema:Periodical
66 sg:person.012351424331.97 schema:affiliation https://www.grid.ac/institutes/grid.4800.c
67 schema:familyName Pandolfi
68 schema:givenName Luciano
69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012351424331.97
70 rdf:type schema:Person
71 sg:pub.10.1007/978-1-4614-5808-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015716591
72 https://doi.org/10.1007/978-1-4614-5808-1
73 rdf:type schema:CreativeWork
74 sg:pub.10.1007/978-3-319-12247-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046538367
75 https://doi.org/10.1007/978-3-319-12247-2
76 rdf:type schema:CreativeWork
77 sg:pub.10.1007/bf01442108 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037211069
78 https://doi.org/10.1007/bf01442108
79 rdf:type schema:CreativeWork
80 sg:pub.10.1007/s00245-005-0819-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031234182
81 https://doi.org/10.1007/s00245-005-0819-0
82 rdf:type schema:CreativeWork
83 https://app.dimensions.ai/details/publication/pub.1015716591 schema:CreativeWork
84 https://doi.org/10.1002/sapm1973523189 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008239731
85 rdf:type schema:CreativeWork
86 https://doi.org/10.1016/j.aml.2015.07.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023885023
87 rdf:type schema:CreativeWork
88 https://doi.org/10.1051/cocv/2016068 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056952180
89 rdf:type schema:CreativeWork
90 https://doi.org/10.1137/0330055 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062844383
91 rdf:type schema:CreativeWork
92 https://doi.org/10.1216/jie-2015-27-1-103 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064427321
93 rdf:type schema:CreativeWork
94 https://doi.org/10.3934/dcdsb.2010.14.1375 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071736505
95 rdf:type schema:CreativeWork
96 https://doi.org/10.3934/dcdsb.2010.14.1487 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071736512
97 rdf:type schema:CreativeWork
98 https://www.grid.ac/institutes/grid.4800.c schema:alternateName Polytechnic University of Turin
99 schema:name Dipartimento di Scienze Matematiche “Giuseppe Luigi Lagrange” (retired), Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy
100 rdf:type schema:Organization
 




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


...