Resumen de An existence theorem for an implicit nonlinear evolution equation

Alfredo Bermúdez de Castro y López-Varela, José Durany Castrillo, Christian Saguez

• In this paper we prove the existence of a solution for a non linear evolution equations of the form: $$\frac{d}{dt}B(u(t))+A(t,u(t)) \ni f(t)$$ Where $A$ and $B$ are nonlinear operators, possibly multivalued.\newline\newline The proof is based on implicit discretization in time and passing to the limit as the time step goes to zero.\newline An application to a Stefan problem, arising from the solidification of a metal in a mould, is given.