131146 20240205173707.0 doi 10.3934/cpaa.2018015 sideral 106682 ART-2018-106682 eng Abadías Ullod, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay 2018 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/EC/H2020/644202/EU/Geophysical Exploration using Advanced GAlerkin Methods/GEAGAM This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 644202-GEAGAM info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.925 2018 MATHEMATICS 107 / 313 = 0.342 2018 Q2 T2 MATHEMATICS, APPLIED 157 / 254 = 0.618 2018 Q3 T2 1.079 2018 Applied Mathematics 2018 Q1 Analysis 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lizama, Carlos Murillo-Arcila, Marina 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 17, 1 (2018), 243-265 Commun. Pure Appl. Anal COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 1534-0392 457668 http://zaguan.unizar.es/record/131146/files/texto_completo.pdf Postprint 1419755 http://zaguan.unizar.es/record/131146/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131146 articulos driver 2024-02-05-16:08:45 ARTICLE