Article citationsMore>>

Lancia, M.R. and Vernole, P. (2012) Semilinear Evolution Transmission Problems across Fractal Layers. Nonlinear Analysis: Theory, Methods & Applications, 75, 4222-4240.
http://dx.doi.org/10.1016/j.na.2012.03.011

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.