We study a semilinear parabolic problem with a semilinear dynamical boundary condition in an irregular domain with fractal boundary. Local existence, uniqueness and regularity results for the mild solution, are established via a semigroup approach. A sufficient condition on the initial datum for global existence is given.
Semilinear Venttsel’ Problems in Fractal Domains / Lancia, Maria Rosaria; Vernole, Paola. - In: APPLIED MATHEMATICS. - ISSN 2152-7393. - STAMPA. - 5:(2014), pp. 1820-1833. [10.4236/am.2014.512175]
Semilinear Venttsel’ Problems in Fractal Domains
LANCIA, Maria Rosaria;VERNOLE, Paola
2014
Abstract
We study a semilinear parabolic problem with a semilinear dynamical boundary condition in an irregular domain with fractal boundary. Local existence, uniqueness and regularity results for the mild solution, are established via a semigroup approach. A sufficient condition on the initial datum for global existence is given.File allegati a questo prodotto
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