General decay for a wave equation of Kirchhoff type with a boundary control of memory type View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-12

AUTHORS

Shun-Tang Wu

ABSTRACT

A nonlinear wave equation of Kirchhoff type with memory condition at the boundary in a bounded domain is considered. We establish a general decay result which includes the usual exponential and polynomial decay rates. Furthermore, our results allow certain relaxation functions which are not necessarily of exponential and polynomial decay. This improves earlier results in the literature. MSC: 35L05; 35L70; 35L75; 74D10. More... »

PAGES

55

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/1687-2770-2011-55

DOI

http://dx.doi.org/10.1186/1687-2770-2011-55

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1038222011


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "National Taipei University of Technology", 
          "id": "https://www.grid.ac/institutes/grid.412087.8", 
          "name": [
            "General Education Center, National Taipei University of Technology, 106, Taipei, Taiwan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Wu", 
        "givenName": "Shun-Tang", 
        "id": "sg:person.016566732675.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016566732675.14"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0362-546x(84)90007-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000124784"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0362-546x(86)90071-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000201944"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/(sici)1099-1476(19970125)20:2<151::aid-mma851>3.0.co;2-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005172975"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/(sici)1099-1476(19970125)20:2<151::aid-mma851>3.0.co;2-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005172975"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0362-546x(03)00121-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005636214"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0362-546x(03)00121-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005636214"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0096-3003(03)00284-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007318237"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0096-3003(03)00284-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007318237"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.nonrwa.2009.10.013", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009406403"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0362-546x(87)90031-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011062946"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0096-3003(02)00915-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011947063"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s005260100096", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012760592", 
          "https://doi.org/10.1007/s005260100096"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmaa.1997.5697", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022488885"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2006.08.039", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026036936"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0362-546x(98)00195-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030252629"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0362-546x(01)00781-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030287172"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2004.11.023", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030397625"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmaa.1996.0464", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046664079"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4134/jkms.2007.44.4.1013", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047017642"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/s0027763000019929", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048015092"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2008.03.026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051540290"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/s0363012901394978", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062880545"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2011-12", 
    "datePublishedReg": "2011-12-01", 
    "description": "A nonlinear wave equation of Kirchhoff type with memory condition at the boundary in a bounded domain is considered. We establish a general decay result which includes the usual exponential and polynomial decay rates. Furthermore, our results allow certain relaxation functions which are not necessarily of exponential and polynomial decay. This improves earlier results in the literature. MSC: 35L05; 35L70; 35L75; 74D10.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1186/1687-2770-2011-55", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136755", 
        "issn": [
          "1687-2762", 
          "1687-2770"
        ], 
        "name": "Boundary Value Problems", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2011"
      }
    ], 
    "name": "General decay for a wave equation of Kirchhoff type with a boundary control of memory type", 
    "pagination": "55", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "b613f0ea660b68c0e912d6df4b3e064ef623df8f48475ddd25d291e0788f6405"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1186/1687-2770-2011-55"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1038222011"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1186/1687-2770-2011-55", 
      "https://app.dimensions.ai/details/publication/pub.1038222011"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T00:16", 
    "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/v90/0000000001_0000000264/records_8695_00000514.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1186%2F1687-2770-2011-55"
  }
]
 

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.10.1186/1687-2770-2011-55'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/1687-2770-2011-55'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/1687-2770-2011-55'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/1687-2770-2011-55'


 

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

119 TRIPLES      21 PREDICATES      46 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1186/1687-2770-2011-55 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N593c9c4c6c83474391ccfa451301c6cb
4 schema:citation sg:pub.10.1007/s005260100096
5 https://doi.org/10.1002/(sici)1099-1476(19970125)20:2<151::aid-mma851>3.0.co;2-0
6 https://doi.org/10.1006/jmaa.1996.0464
7 https://doi.org/10.1006/jmaa.1997.5697
8 https://doi.org/10.1016/0362-546x(84)90007-5
9 https://doi.org/10.1016/0362-546x(86)90071-4
10 https://doi.org/10.1016/0362-546x(87)90031-9
11 https://doi.org/10.1016/j.na.2004.11.023
12 https://doi.org/10.1016/j.na.2006.08.039
13 https://doi.org/10.1016/j.na.2008.03.026
14 https://doi.org/10.1016/j.nonrwa.2009.10.013
15 https://doi.org/10.1016/s0096-3003(02)00915-3
16 https://doi.org/10.1016/s0096-3003(03)00284-4
17 https://doi.org/10.1016/s0362-546x(01)00781-7
18 https://doi.org/10.1016/s0362-546x(03)00121-4
19 https://doi.org/10.1016/s0362-546x(98)00195-3
20 https://doi.org/10.1017/s0027763000019929
21 https://doi.org/10.1137/s0363012901394978
22 https://doi.org/10.4134/jkms.2007.44.4.1013
23 schema:datePublished 2011-12
24 schema:datePublishedReg 2011-12-01
25 schema:description A nonlinear wave equation of Kirchhoff type with memory condition at the boundary in a bounded domain is considered. We establish a general decay result which includes the usual exponential and polynomial decay rates. Furthermore, our results allow certain relaxation functions which are not necessarily of exponential and polynomial decay. This improves earlier results in the literature. MSC: 35L05; 35L70; 35L75; 74D10.
26 schema:genre research_article
27 schema:inLanguage en
28 schema:isAccessibleForFree true
29 schema:isPartOf N690cfc4bea4246e9b535317c782a1556
30 N6a19ea8dc11349ffa52804c6b028ad3b
31 sg:journal.1136755
32 schema:name General decay for a wave equation of Kirchhoff type with a boundary control of memory type
33 schema:pagination 55
34 schema:productId N0611d0868dce48209e3778d70557f3a0
35 N272987ff0f7c4854aa7c4c24cbbbc104
36 N3a222bc18b524b0cbc6f7e59e197695a
37 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038222011
38 https://doi.org/10.1186/1687-2770-2011-55
39 schema:sdDatePublished 2019-04-11T00:16
40 schema:sdLicense https://scigraph.springernature.com/explorer/license/
41 schema:sdPublisher N1dc79fdb572c4fa0967ffa96513e7888
42 schema:url http://link.springer.com/10.1186%2F1687-2770-2011-55
43 sgo:license sg:explorer/license/
44 sgo:sdDataset articles
45 rdf:type schema:ScholarlyArticle
46 N0611d0868dce48209e3778d70557f3a0 schema:name dimensions_id
47 schema:value pub.1038222011
48 rdf:type schema:PropertyValue
49 N1dc79fdb572c4fa0967ffa96513e7888 schema:name Springer Nature - SN SciGraph project
50 rdf:type schema:Organization
51 N272987ff0f7c4854aa7c4c24cbbbc104 schema:name doi
52 schema:value 10.1186/1687-2770-2011-55
53 rdf:type schema:PropertyValue
54 N3a222bc18b524b0cbc6f7e59e197695a schema:name readcube_id
55 schema:value b613f0ea660b68c0e912d6df4b3e064ef623df8f48475ddd25d291e0788f6405
56 rdf:type schema:PropertyValue
57 N593c9c4c6c83474391ccfa451301c6cb rdf:first sg:person.016566732675.14
58 rdf:rest rdf:nil
59 N690cfc4bea4246e9b535317c782a1556 schema:issueNumber 1
60 rdf:type schema:PublicationIssue
61 N6a19ea8dc11349ffa52804c6b028ad3b schema:volumeNumber 2011
62 rdf:type schema:PublicationVolume
63 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
64 schema:name Mathematical Sciences
65 rdf:type schema:DefinedTerm
66 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
67 schema:name Pure Mathematics
68 rdf:type schema:DefinedTerm
69 sg:journal.1136755 schema:issn 1687-2762
70 1687-2770
71 schema:name Boundary Value Problems
72 rdf:type schema:Periodical
73 sg:person.016566732675.14 schema:affiliation https://www.grid.ac/institutes/grid.412087.8
74 schema:familyName Wu
75 schema:givenName Shun-Tang
76 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016566732675.14
77 rdf:type schema:Person
78 sg:pub.10.1007/s005260100096 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012760592
79 https://doi.org/10.1007/s005260100096
80 rdf:type schema:CreativeWork
81 https://doi.org/10.1002/(sici)1099-1476(19970125)20:2<151::aid-mma851>3.0.co;2-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005172975
82 rdf:type schema:CreativeWork
83 https://doi.org/10.1006/jmaa.1996.0464 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046664079
84 rdf:type schema:CreativeWork
85 https://doi.org/10.1006/jmaa.1997.5697 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022488885
86 rdf:type schema:CreativeWork
87 https://doi.org/10.1016/0362-546x(84)90007-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000124784
88 rdf:type schema:CreativeWork
89 https://doi.org/10.1016/0362-546x(86)90071-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000201944
90 rdf:type schema:CreativeWork
91 https://doi.org/10.1016/0362-546x(87)90031-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011062946
92 rdf:type schema:CreativeWork
93 https://doi.org/10.1016/j.na.2004.11.023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030397625
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1016/j.na.2006.08.039 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026036936
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1016/j.na.2008.03.026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051540290
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1016/j.nonrwa.2009.10.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009406403
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1016/s0096-3003(02)00915-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011947063
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/s0096-3003(03)00284-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007318237
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/s0362-546x(01)00781-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030287172
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/s0362-546x(03)00121-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005636214
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1016/s0362-546x(98)00195-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030252629
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1017/s0027763000019929 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048015092
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1137/s0363012901394978 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062880545
114 rdf:type schema:CreativeWork
115 https://doi.org/10.4134/jkms.2007.44.4.1013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047017642
116 rdf:type schema:CreativeWork
117 https://www.grid.ac/institutes/grid.412087.8 schema:alternateName National Taipei University of Technology
118 schema:name General Education Center, National Taipei University of Technology, 106, Taipei, Taiwan
119 rdf:type schema:Organization
 




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


...