Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region ... View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1999-09

AUTHORS

L. A. Muravei, A. V. Filinovskii

ABSTRACT

The paper is devoted to the study of the behavior of the following mixed problem for large values of time: where Ω is an unbounded region of ℝn with, generally speaking, noncompact boundary; the surface Γ is star-shaped (relative to the origin), ν is the unit outer normal to ∂Ω; and the initial functionsf andg are assumed to be sufficiently smooth and finite. Under certain restrictions on the part of the boundary Γ2 constrained by the impedance condition, we establish that one can match the impedanceg≥0 (characterizing the absorption of energy by the surface Γ2) to the geometric properties of this surface so that the energy on an arbitrary compact set will decay at a rate characteristic for the first mixed problem. More... »

PAGES

316-322

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02676440

DOI

http://dx.doi.org/10.1007/bf02676440

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1018251820


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/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials 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": {
          "name": [
            "K. \u00c9. Tsiolkovskii Moscow Aviation Technology University, Moscow, USSR"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Muravei", 
        "givenName": "L. A.", 
        "id": "sg:person.012462372127.54", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012462372127.54"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Bauman Moscow State Technical University", 
          "id": "https://www.grid.ac/institutes/grid.61569.3d", 
          "name": [
            "N. \u00c9. Bauman. Moscow State Technical University, Moscow, USSR"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Filinovskii", 
        "givenName": "A. V.", 
        "id": "sg:person.016526164667.79", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016526164667.79"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1090/s0002-9904-1967-11818-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036149722"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00250710", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049422241", 
          "https://doi.org/10.1007/bf00250710"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00250710", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049422241", 
          "https://doi.org/10.1007/bf00250710"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1999-09", 
    "datePublishedReg": "1999-09-01", 
    "description": "The paper is devoted to the study of the behavior of the following mixed problem for large values of time: where \u03a9 is an unbounded region of \u211dn with, generally speaking, noncompact boundary; the surface \u0393 is star-shaped (relative to the origin), \u03bd is the unit outer normal to \u2202\u03a9; and the initial functionsf andg are assumed to be sufficiently smooth and finite. Under certain restrictions on the part of the boundary \u03932 constrained by the impedance condition, we establish that one can match the impedanceg\u22650 (characterizing the absorption of energy by the surface \u03932) to the geometric properties of this surface so that the energy on an arbitrary compact set will decay at a rate characteristic for the first mixed problem.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf02676440", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136530", 
        "issn": [
          "1757-7489", 
          "1573-8876"
        ], 
        "name": "Mathematical Notes", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "66"
      }
    ], 
    "name": "Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary", 
    "pagination": "316-322", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "56f6842502a65567f47f8ec79196ffb95b729d58e12044bcc2336ef5344d208d"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02676440"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1018251820"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02676440", 
      "https://app.dimensions.ai/details/publication/pub.1018251820"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:35", 
    "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/v90/0000000370_0000000370/records_46777_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF02676440"
  }
]
 

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/bf02676440'

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/bf02676440'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02676440'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02676440'


 

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

77 TRIPLES      21 PREDICATES      29 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02676440 schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author Nedc52f45c94a4d83b7e7e41ee77d6c24
4 schema:citation sg:pub.10.1007/bf00250710
5 https://doi.org/10.1090/s0002-9904-1967-11818-4
6 schema:datePublished 1999-09
7 schema:datePublishedReg 1999-09-01
8 schema:description The paper is devoted to the study of the behavior of the following mixed problem for large values of time: where Ω is an unbounded region of ℝn with, generally speaking, noncompact boundary; the surface Γ is star-shaped (relative to the origin), ν is the unit outer normal to ∂Ω; and the initial functionsf andg are assumed to be sufficiently smooth and finite. Under certain restrictions on the part of the boundary Γ2 constrained by the impedance condition, we establish that one can match the impedanceg≥0 (characterizing the absorption of energy by the surface Γ2) to the geometric properties of this surface so that the energy on an arbitrary compact set will decay at a rate characteristic for the first mixed problem.
9 schema:genre research_article
10 schema:inLanguage en
11 schema:isAccessibleForFree false
12 schema:isPartOf N31b1f949bc8a4091aff01403b5081b45
13 Ncb9cbb86efff4b6c80f56e56b0078a9d
14 sg:journal.1136530
15 schema:name Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary
16 schema:pagination 316-322
17 schema:productId N520b1326dcee400abb5a49d7593e472e
18 N94f5f3c56253498b85009f5c5066b51a
19 Na2e0be6b654a42a6b252848542841321
20 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018251820
21 https://doi.org/10.1007/bf02676440
22 schema:sdDatePublished 2019-04-11T13:35
23 schema:sdLicense https://scigraph.springernature.com/explorer/license/
24 schema:sdPublisher Nd0ad4c9b81a9437ab1a78be689282941
25 schema:url http://link.springer.com/10.1007/BF02676440
26 sgo:license sg:explorer/license/
27 sgo:sdDataset articles
28 rdf:type schema:ScholarlyArticle
29 N2d1b0bafc83840b9bc8ef8e57f812ebd schema:name K. É. Tsiolkovskii Moscow Aviation Technology University, Moscow, USSR
30 rdf:type schema:Organization
31 N31b1f949bc8a4091aff01403b5081b45 schema:issueNumber 3
32 rdf:type schema:PublicationIssue
33 N520b1326dcee400abb5a49d7593e472e schema:name dimensions_id
34 schema:value pub.1018251820
35 rdf:type schema:PropertyValue
36 N94f5f3c56253498b85009f5c5066b51a schema:name doi
37 schema:value 10.1007/bf02676440
38 rdf:type schema:PropertyValue
39 Na08be52aa75a4fb29551293e8b2ca65f rdf:first sg:person.016526164667.79
40 rdf:rest rdf:nil
41 Na2e0be6b654a42a6b252848542841321 schema:name readcube_id
42 schema:value 56f6842502a65567f47f8ec79196ffb95b729d58e12044bcc2336ef5344d208d
43 rdf:type schema:PropertyValue
44 Ncb9cbb86efff4b6c80f56e56b0078a9d schema:volumeNumber 66
45 rdf:type schema:PublicationVolume
46 Nd0ad4c9b81a9437ab1a78be689282941 schema:name Springer Nature - SN SciGraph project
47 rdf:type schema:Organization
48 Nedc52f45c94a4d83b7e7e41ee77d6c24 rdf:first sg:person.012462372127.54
49 rdf:rest Na08be52aa75a4fb29551293e8b2ca65f
50 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
51 schema:name Engineering
52 rdf:type schema:DefinedTerm
53 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
54 schema:name Materials Engineering
55 rdf:type schema:DefinedTerm
56 sg:journal.1136530 schema:issn 1573-8876
57 1757-7489
58 schema:name Mathematical Notes
59 rdf:type schema:Periodical
60 sg:person.012462372127.54 schema:affiliation N2d1b0bafc83840b9bc8ef8e57f812ebd
61 schema:familyName Muravei
62 schema:givenName L. A.
63 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012462372127.54
64 rdf:type schema:Person
65 sg:person.016526164667.79 schema:affiliation https://www.grid.ac/institutes/grid.61569.3d
66 schema:familyName Filinovskii
67 schema:givenName A. V.
68 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016526164667.79
69 rdf:type schema:Person
70 sg:pub.10.1007/bf00250710 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049422241
71 https://doi.org/10.1007/bf00250710
72 rdf:type schema:CreativeWork
73 https://doi.org/10.1090/s0002-9904-1967-11818-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036149722
74 rdf:type schema:CreativeWork
75 https://www.grid.ac/institutes/grid.61569.3d schema:alternateName Bauman Moscow State Technical University
76 schema:name N. É. Bauman. Moscow State Technical University, Moscow, USSR
77 rdf:type schema:Organization
 




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


...