Rate of decay to 0 of the solutions to a nonlinear parabolic equation

  • Imen Ben Arbi

    Université Pierre et Marie Curie (Paris VI), France

Abstract

We study the decay rate to as of the solution of the equation with Neumann boundary conditions in a bounded smooth open connected domain of where . We show that either converges to exponentially fast or decreases like .

Cite this article

Imen Ben Arbi, Rate of decay to 0 of the solutions to a nonlinear parabolic equation. Port. Math. 69 (2012), no. 1, pp. 23–39

DOI 10.4171/PM/1903