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:
INVESTIGACIONMetadades
Títol
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delayData de publicació
2018-01Editor
American Institute of Mathematical Sciences (AIMS)ISSN
1534-0392; 1553-5258Cita bibliogràfica
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. 243-265Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14568Versió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Communications on Pure & Applied Analysis, 2018, vol. 17, no 1Drets d'accés
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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