Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II

Geometrical equivalence of global attractors of reaction diffusion equations under Lipschitz perturbations

Jihoon Lee
Chonnam National University
Korea
Co-Author(s):    
Abstract:
In this talk, we explore the geometrical equivalence among the global attractors of reaction diffusion equations under Lipschitz perturbations of the domain and equation. Using the facts, we obtain the continuity of the global attractors of reaction diffusion equations if every equilibrium point of the system is hyperbolic. These extend the recent results L.Pires. {\it Joint work with N.Nguyen and L.Pires.}