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)