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000071091 005__ 20180709155049.0
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000071091 037__ $$aART-2018-106684
000071091 041__ $$aeng
000071091 100__ $$0(orcid)0000-0003-2453-7841$$aAbadías Ullod, Luciano$$uUniversidad de Zaragoza
000071091 245__ $$aUniform stability for fractional Cauchy problems and applications
000071091 260__ $$c2018
000071091 5060_ $$aAccess copy available to the general public$$fUnrestricted
000071091 5203_ $$aIn this paper we give uniform stable spatial bounds for the resolvent operator fami- lies of the abstract fractional Cauchy problem on R+. Such bounds allow to prove existence and uniqueness of µ-pseudo almost automorphic e-mild regular solutions to the nonlinear fractional Cauchy problem in the whole real line. Finally, we apply our main results to the fractional heat equation with critical nonlinearities.
000071091 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P
000071091 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000071091 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000071091 700__ $$aÁlvarez, Edgardo
000071091 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000071091 773__ $$pTopological Methods in Nonlinear Analysis$$tTopological Methods in Nonlinear Analysis$$x1230-3429
000071091 8564_ $$s663685$$uhttps://zaguan.unizar.es/record/71091/files/texto_completo.pdf$$yPostprint
000071091 8564_ $$s75036$$uhttps://zaguan.unizar.es/record/71091/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000071091 909CO $$ooai:zaguan.unizar.es:71091$$particulos$$pdriver
000071091 951__ $$a2018-07-09-15:20:54
000071091 980__ $$aARTICLE