Equações Diferenciais

Evolution Processes generated by Semilinear Parabolic Equations

Carlos Rocha
CAMGSD - Instituto Superior Técnico

Abstract: We consider small nonautonomous perturbations of autonomous evolution processes generated by certain scalar semilinear parabolic differential equations. Extending the notion of Morse-Smale dynamical system to the nonautonomous framework we show that under generic assumptions the above evolution processes are Morse-Smale.

This is a joint work with Radoslaw Czaja and Waldyr Oliva.