56088 20200221144245.0 doi 10.1215/17358787-3345137 sideral 93615 ART-2016-93615 eng (orcid)0000-0003-2453-7841 Abadias, L. Universidad de Zaragoza Sharp extensions and algebraic properties for solution families of vector-valued differential equations 2016 Access copy available to the general public Unrestricted In 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. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.833 2016 MATHEMATICS 90 / 310 = 0.29 2016 Q2 T1 MATHEMATICS, APPLIED 146 / 255 = 0.573 2016 Q3 T2 0.893 2016 Analysis 2016 Q2 Algebra and Number Theory 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion Lizama, C. (orcid)0000-0001-9430-343X Miana, P.J. Universidad de Zaragoza 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 10, 1 (2016), 196-208 Banach Journal of Mathematical Analysis BANACH JOURNAL OF MATHEMATICAL ANALYSIS 1735-8787 http:; projecteuclid.org/euclid.bjma/1449583218 Texto completo de la revista 351555 http://zaguan.unizar.es/record/56088/files/texto_completo.pdf Preprint 82961 http://zaguan.unizar.es/record/56088/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:56088 articulos driver 2020-02-21-13:24:41 ARTICLE