Well-posedness for the abstract Blackstock–Crighton–Westervelt equation

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorUniversidad de Santiago de Chile-
Autor(es): dc.creatorGambera, Laura R. [UNESP]-
Autor(es): dc.creatorLizama, Carlos-
Autor(es): dc.creatorProkopczyk, Andréa [UNESP]-
Data de aceite: dc.date.accessioned2022-02-22T00:25:36Z-
Data de disponibilização: dc.date.available2022-02-22T00:25:36Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2019-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s00028-020-00580-3-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/198824-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/198824-
Descrição: dc.descriptionIn this paper, an abstract degenerate hyperbolic equation is considered that includes the semilinear Blackstock–Crighton–Westervelt equation. By proposing a new approach based on strongly continuous semigroups and resolvent families of operators, we prove an explicit representation of the strong and mild solutions for the linearized model by means of a kind of variation of parameters formula. Moreover, we show that under nonlocal initial conditions, the existence of a mild solution of the semilinear equation can be established.-
Descrição: dc.descriptionInstitute of Biosciences Humanities and Exact Sciences (Ibilce) São Paulo State University (Unesp), Campus São José do Rio Preto-
Descrição: dc.descriptionDepartamento de Matemática y Ciencia de la Computación Universidad de Santiago de Chile, las Sophoras 173, Estación central-
Descrição: dc.descriptionInstitute of Biosciences Humanities and Exact Sciences (Ibilce) São Paulo State University (Unesp), Campus São José do Rio Preto-
Idioma: dc.languageen-
Relação: dc.relationJournal of Evolution Equations-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBlackstock–Crighton–Westervelt-
Palavras-chave: dc.subjectResolvent families-
Palavras-chave: dc.subjectWell-posedness-
Título: dc.titleWell-posedness for the abstract Blackstock–Crighton–Westervelt equation-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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