000056088 001__ 56088
000056088 005__ 20200221144245.0
000056088 0247_ $$2doi$$a10.1215/17358787-3345137
000056088 0248_ $$2sideral$$a93615
000056088 037__ $$aART-2016-93615
000056088 041__ $$aeng
000056088 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza
000056088 245__ $$aSharp extensions and algebraic properties for solution families of vector-valued differential equations
000056088 260__ $$c2016
000056088 5060_ $$aAccess copy available to the general public$$fUnrestricted
000056088 5203_ $$aIn this paper we show the unexpected property that extension from local to global without loss of regularity holds for the solutions of a wide class of vector-valued differential equations, in particular for the class of fractional abstract Cauchy problems in the subdiffusive case. The main technique is the use of the algebraic structure of these solutions, which are defined by new versions of functional equations defining solution families of bounded operators. The convolution product and the double Laplace transform for functions of two variables are useful tools which we apply also to extend these solutions. Finally we illustrate our results with different concrete examples.
000056088 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P
000056088 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000056088 590__ $$a0.833$$b2016
000056088 591__ $$aMATHEMATICS$$b90 / 310 = 0.29$$c2016$$dQ2$$eT1
000056088 591__ $$aMATHEMATICS, APPLIED$$b146 / 255 = 0.573$$c2016$$dQ3$$eT2
000056088 592__ $$a0.893$$b2016
000056088 593__ $$aAnalysis$$c2016$$dQ2
000056088 593__ $$aAlgebra and Number Theory$$c2016$$dQ2
000056088 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000056088 700__ $$aLizama, C.
000056088 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, P.J.$$uUniversidad de Zaragoza
000056088 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000056088 773__ $$g10, 1 (2016), 196-208$$pBanach Journal of Mathematical Analysis$$tBANACH JOURNAL OF MATHEMATICAL ANALYSIS$$x1735-8787
000056088 85641 $$uhttp:; projecteuclid.org/euclid.bjma/1449583218$$zTexto completo de la revista
000056088 8564_ $$s351555$$uhttps://zaguan.unizar.es/record/56088/files/texto_completo.pdf$$yPreprint
000056088 8564_ $$s82961$$uhttps://zaguan.unizar.es/record/56088/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint
000056088 909CO $$ooai:zaguan.unizar.es:56088$$particulos$$pdriver
000056088 951__ $$a2020-02-21-13:24:41
000056088 980__ $$aARTICLE