Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delayFecha de publicación
2018-01Editor
American Institute of Mathematical Sciences (AIMS)ISSN
1534-0392; 1553-5258Cita bibliográfica
ABADÍAS, Luciano; LIZAMA, Carlos; MURILLO-ARCILA, Marina. Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Communications on Pure & Applied Analysis, 2018, vol. 17, no 1, p. 243-265Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14568Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of ... [+]
We characterize the well-posedness of a third order in time equation with infinite delay in Holder 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(v-1)/Gamma(v)e(-at) the third order problem is ill- posed whenever 0 < v <= 1 and alpha is inversely proportional to one of the terms of the given model. [-]
Publicado en
Communications on Pure & Applied Analysis, 2018, vol. 17, no 1Derechos de acceso
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure and Applied Analysis following peer review. The definitive publisher-authenticated version Communications on Pure & Applied Analysis, 2018, vol. 17, no 1, is available online at: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14568.
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