next up previous
Next: About this document ...

On a class of nonlocal diffusion equations and applications

José Francisco Rodrigues
CMAF/University of Lisbon

Nonlocal reaction-diffusion problems arise in the modeling of natural phenomena. We consider the existence and the approximation, via appropriate reaction-diffusion systems, of solutions to a class of parabolic equations with nonlocal nonlinearities, which in the Lipschitz continuous case are unique. We also give a counter-example to the uniqueness in the case of nonlocal discontinuous reaction term and we give examples of application in mathematical models of combustion theory and of morphogenesis in excitable media.


Tohru Okuzono