On convergence of solutions to equilibria for quasilinear parabolic problems

Details On convergence of solutions to equilibria for quasilinear parabolic problems On convergence of solutions to equilibria for quasilinear parabolic problems

2008-07-09

arxiv.org/abs/0807.1539v2

Mathematics

Analysis of PDEs

33 pages. To appear in Journal of Differential Equations. Contains a more general result in Theorem 6.1 than the first version

Scientific paper

10.1016/j.jde.2008.10.034

We show convergence of solutions to equilibria for quasilinear parabolic
evolution equations in situations where the set of equilibria is non-discrete,
but forms a finite-dimensional $C^1$-manifold which is normally hyperbolic. Our
results do not depend on the presence of an appropriate Lyapunov functional as
in the \L ojasiewicz-Simon approach, but are of local nature.

Affiliated with

Also associated with

No associations

Rating

On convergence of solutions to equilibria for quasilinear parabolic problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On convergence of solutions to equilibria for quasilinear parabolic problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On convergence of solutions to equilibria for quasilinear parabolic problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458834