Rate of decay to 0 of the solutions to a nonlinear parabolic equation
Imen Ben Arbi
Université Pierre et Marie Curie (Paris VI), France
![Rate of decay to 0 of the solutions to a nonlinear parabolic equation cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-pm-volume-69-issue-1.png&w=3840&q=90)
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