Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
Abadías Ullod, Luciano (Universidad de Zaragoza) ; Lizama, Carlos ; Murillo-Arcila, Marina
Resumen: We characterize the well-posedness of a third order in time equation with infinite delay in Ho ¨lder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the linearized Kuznetzov and Westerwelt equations. We show
in case of the Laplacian operator the new and surprising fact that for the standard memory kernel g(t) = t¿-1 e-at the third order problem is ill-posed whenever 0 < ¿ = 1 and a is inversely G(¿ ) proportional to the damping term of the given model.
Idioma: Inglés
DOI: 10.3934/cpaa.2018015
Año: 2018
Publicado en: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 17, 1 (2018), 243-265
ISSN: 1534-0392
Factor impacto JCR: 0.925 (2018)
Categ. JCR: MATHEMATICS rank: 107 / 313 = 0.342 (2018) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 157 / 254 = 0.618 (2018) - Q3 - T2
Factor impacto SCIMAGO: 1.079 - Applied Mathematics (Q1) - Analysis (Q1)
Financiación: info:eu-repo/grantAgreement/EC/H2020/644202/EU/Geophysical Exploration using Advanced GAlerkin Methods/GEAGAM
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2024-02-05-16:08:45)
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in case of the Laplacian operator the new and surprising fact that for the standard memory kernel g(t) = t¿-1 e-at the third order problem is ill-posed whenever 0 < ¿ = 1 and a is inversely G(¿ ) proportional to the damping term of the given model.
Idioma: Inglés
DOI: 10.3934/cpaa.2018015
Año: 2018
Publicado en: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 17, 1 (2018), 243-265
ISSN: 1534-0392
Factor impacto JCR: 0.925 (2018)
Categ. JCR: MATHEMATICS rank: 107 / 313 = 0.342 (2018) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 157 / 254 = 0.618 (2018) - Q3 - T2
Factor impacto SCIMAGO: 1.079 - Applied Mathematics (Q1) - Analysis (Q1)
Financiación: info:eu-repo/grantAgreement/EC/H2020/644202/EU/Geophysical Exploration using Advanced GAlerkin Methods/GEAGAM
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2024-02-05-16:08:45)
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Record created 2024-02-05, last modified 2024-02-05