On the elasto-plastic filtration equation

Arturo de Pablo, Fernando Quiros, Julio D. Rossi

We study the fully nonlinear heat equation $b({\partial }_{t}u){\partial }_{t}u=\hat{I}”u$ posed in a bounded domain with Dirichlet boundary conditions. Here $b(s)=b^{-}$ if $s<0$, $b(s)=b^{+}$ if $s>…