On normal stability for nonlinear parabolic equations

Abstract

We show convergence of solutions to equilibria for quasilinear and fully nonlinear parabolic evolution equations in situations where the set of equilibria is non-discrete, but forms a finite-dimensional $C^1$-manifold which is normally stable.

10 pages

References in corpus (1)

• On convergence of solutions to equilibria for quasilinear parabolic problems

Cited by in corpus (1)

• On convergence of solutions to equilibria for quasilinear parabolic problems