A REACTION-DIFFUSION EQUATION ON A THIN L-SHAPED DOMAIN

We consider a dissipative reaction-diffusion equation on a thin L-shap ed domain (with the thinness measured by a parameter a); we determine the limit equation for epsilon = O and prove the upper semicontinuity of the global attractors at epsilon = O. We also state a lower semicon tinuity result. When the limit equation is one-dimensional, we prove c onvergence of any orbit to a singleton.