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Lunardi, A. (1995) Analytic Semigroups and Optimal Regularity in Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, 16, Birk?uses Verlag, Basel.

has been cited by the following article:

• TITLE: Semilinear Venttsel’ Problems in Fractal Domains

  AUTHORS: Maria Rosaria Lancia, Paola Vernole

  KEYWORDS: Energy Forms, Fractal Domains, Trace Theorems, Semigroups, Semilinear Parabolic Equations

  JOURNAL NAME: Applied Mathematics, Vol.5 No.12, June 26, 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.