Article citationsMore>>

Giga, Y. (1986) Solutions for Semilinear Parabolic Equations in and Regularity of Weak Solutions of the Navier Stokes System. Journal of Differential Equations, 62, 186-212.
http://dx.doi.org/10.1016/0022-0396(86)90096-3

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.