English

On normal stability for nonlinear parabolic equations

Analysis of PDEs 2016-12-20 v1 Dynamical Systems

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 C1C^1-manifold which is normally stable.

Keywords

Cite

@article{arxiv.0811.1784,
  title  = {On normal stability for nonlinear parabolic equations},
  author = {Jan Pruess and Gieri Simonett and Rico Zacher},
  journal= {arXiv preprint arXiv:0811.1784},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-21T11:40:32.244Z