Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation

Detalhes bibliográficos
Autor(a) principal: Nascimento, Wanderley Nunes do
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/257102
Resumo: In order to prove global existence (in time) of small data energy solutions to the semilinear Cauchy problem for the wave equation with time-dependent exponential speed of propagation mass and dissipation we will derive sharp linear estimates for the solution and its derivatives.
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spelling Nascimento, Wanderley Nunes do2023-04-19T03:23:31Z20220103-9059http://hdl.handle.net/10183/257102001153660In order to prove global existence (in time) of small data energy solutions to the semilinear Cauchy problem for the wave equation with time-dependent exponential speed of propagation mass and dissipation we will derive sharp linear estimates for the solution and its derivatives.application/pdfengMatemática contemporânea. Rio de Janeiro. Vol. 51 (2022), p. 221 - 242Equação da ondaExpoentes críticosProblema de CauchySemilinear evolution equationsLinear estimatesCritical exponentGlobal existence (in time)Small data energy solutionsSemilinear wave equation with time-dependent exponential speed of propagation, mass and dissipationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/otherinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001153660.pdf.txt001153660.pdf.txtExtracted Texttext/plain31444http://www.lume.ufrgs.br/bitstream/10183/257102/2/001153660.pdf.txteaa852d1158c9f648ce90de7c94f74a6MD52ORIGINAL001153660.pdfTexto completo (inglês)application/pdf554013http://www.lume.ufrgs.br/bitstream/10183/257102/1/001153660.pdfe202a54cb84179f7b9baea46dacdca6cMD5110183/2571022023-04-20 03:20:37.596532oai:www.lume.ufrgs.br:10183/257102Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-04-20T06:20:37Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
title Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
spellingShingle Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
Nascimento, Wanderley Nunes do
Equação da onda
Expoentes críticos
Problema de Cauchy
Semilinear evolution equations
Linear estimates
Critical exponent
Global existence (in time)
Small data energy solutions
title_short Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
title_full Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
title_fullStr Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
title_full_unstemmed Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
title_sort Semilinear wave equation with time-dependent exponential speed of propagation, mass and dissipation
author Nascimento, Wanderley Nunes do
author_facet Nascimento, Wanderley Nunes do
author_role author
dc.contributor.author.fl_str_mv Nascimento, Wanderley Nunes do
dc.subject.por.fl_str_mv Equação da onda
Expoentes críticos
Problema de Cauchy
topic Equação da onda
Expoentes críticos
Problema de Cauchy
Semilinear evolution equations
Linear estimates
Critical exponent
Global existence (in time)
Small data energy solutions
dc.subject.eng.fl_str_mv Semilinear evolution equations
Linear estimates
Critical exponent
Global existence (in time)
Small data energy solutions
description In order to prove global existence (in time) of small data energy solutions to the semilinear Cauchy problem for the wave equation with time-dependent exponential speed of propagation mass and dissipation we will derive sharp linear estimates for the solution and its derivatives.
publishDate 2022
dc.date.issued.fl_str_mv 2022
dc.date.accessioned.fl_str_mv 2023-04-19T03:23:31Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/257102
dc.identifier.issn.pt_BR.fl_str_mv 0103-9059
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url http://hdl.handle.net/10183/257102
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Matemática contemporânea. Rio de Janeiro. Vol. 51 (2022), p. 221 - 242
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