Special Session 131: Recent progress on singularities formations of some evolution partial differential equations

Life-span of solutions for some nonlinear parabolic problems

Slim Tayachi
University of Tunis El Manar
Tunisia
Co-Author(s):    
Abstract:
In this talk, we present lower and upper bound estimates for the maximal existence time of solutions to the nonlinear heat equation, and solutions to a nonlinear parabolic system. We improve and extend some known results by considering a large class of initial data. Part of the results presented in this talk are from joint work with Fred B. Weissler.