We study a nonautonomous semilinear parabolic problem with a dynamical boundary condition in an irregular domain with fractal boundary. Local existence, uniqueness and regularity results for the mild solution are established via a family of evolution operators. A sufficient condition on the initial datum for global existence is given.
Nonautonomous semilinear Wentzell problems in fractal domains / Lancia, Maria Rosaria; Vernole, Paola. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 22:4(2022). [10.1007/s00028-022-00846-y]
Nonautonomous semilinear Wentzell problems in fractal domains
Maria Rosaria Lancia
Primo
Membro del Collaboration Group
;Paola VernoleSecondo
Membro del Collaboration Group
2022
Abstract
We study a nonautonomous semilinear parabolic problem with a dynamical boundary condition in an irregular domain with fractal boundary. Local existence, uniqueness and regularity results for the mild solution are established via a family of evolution operators. A sufficient condition on the initial datum for global existence is given.File allegati a questo prodotto
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