000131146 001__ 131146
000131146 005__ 20240205173707.0
000131146 0247_ $$2doi$$a10.3934/cpaa.2018015
000131146 0248_ $$2sideral$$a106682
000131146 037__ $$aART-2018-106682
000131146 041__ $$aeng
000131146 100__ $$0(orcid)0000-0003-2453-7841$$aAbadías Ullod, Luciano$$uUniversidad de Zaragoza
000131146 245__ $$aHölder regularity for the Moore-Gibson-Thompson equation with infinite delay
000131146 260__ $$c2018
000131146 5060_ $$aAccess copy available to the general public$$fUnrestricted
000131146 5203_ $$aWe 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.
000131146 536__ $$9info:eu-repo/grantAgreement/EC/H2020/644202/EU/Geophysical Exploration using Advanced GAlerkin Methods/GEAGAM$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 644202-GEAGAM
000131146 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000131146 590__ $$a0.925$$b2018
000131146 591__ $$aMATHEMATICS$$b107 / 313 = 0.342$$c2018$$dQ2$$eT2
000131146 591__ $$aMATHEMATICS, APPLIED$$b157 / 254 = 0.618$$c2018$$dQ3$$eT2
000131146 592__ $$a1.079$$b2018
000131146 593__ $$aApplied Mathematics$$c2018$$dQ1
000131146 593__ $$aAnalysis$$c2018$$dQ1
000131146 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000131146 700__ $$aLizama, Carlos
000131146 700__ $$aMurillo-Arcila, Marina
000131146 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000131146 773__ $$g17, 1 (2018), 243-265$$pCommun. Pure Appl. Anal$$tCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS$$x1534-0392
000131146 8564_ $$s457668$$uhttps://zaguan.unizar.es/record/131146/files/texto_completo.pdf$$yPostprint
000131146 8564_ $$s1419755$$uhttps://zaguan.unizar.es/record/131146/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000131146 909CO $$ooai:zaguan.unizar.es:131146$$particulos$$pdriver
000131146 951__ $$a2024-02-05-16:08:45
000131146 980__ $$aARTICLE