Stability, instability, and blowup for time fractional and other non-local in time semilinear subdiffusion equations

JOURNAL OF EVOLUTION EQUATIONS

dc.creatorVergara-Aguilar, Vicente
dc.creatorZacher, Rico
dc.date2021-08-23T22:58:45Z
dc.date2022-07-07T14:55:31Z
dc.date2021-08-23T22:58:45Z
dc.date2022-07-07T14:55:31Z
dc.date2017
dc.date.accessioned2023-08-22T05:57:39Z
dc.date.available2023-08-22T05:57:39Z
dc.identifier1150230
dc.identifier1150230
dc.identifierhttps://hdl.handle.net/10533/252399
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8326082
dc.descriptionWe consider nonlocal in time semilinear subdiffusion equations on a bounded domain, where the kernel in the integro-differential operator belongs to a large class, which covers many relevant cases from physics applications, in particular the important case of fractional dynamics. The elliptic operator in the equation is given in divergence form with bounded measurable coefficients. We prove a well-posedness result in the setting of bounded weak solutions and study the stability and instability of the zero function in the special case where the nonlinearity vanishes at 0. We also establish a blowup result for positive convex and superlinear nonlinearities.
dc.descriptionRegular 2015
dc.descriptionFONDECYT
dc.descriptionFONDECYT
dc.languageeng
dc.relationhandle/10533/111557
dc.relationhandle/10533/111541
dc.relationhandle/10533/108045
dc.relationhttps://doi.org/10.1007/s00028-016-0370-2
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsinfo:eu-repo/semantics/article
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleStability, instability, and blowup for time fractional and other non-local in time semilinear subdiffusion equations
dc.titleJOURNAL OF EVOLUTION EQUATIONS
dc.typeArticulo
dc.typeinfo:eu-repo/semantics/publishedVersion


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