On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle

Abstract

We study a Neumann type initial-boundary value problem for strongly degenerate parabolic-hyperbolic equations under the nonlinearity-diffusivity condition. We suggest a notion of entropy solution for this problem and prove its uniqueness. The existence of entropy solutions is also discussed.

arXiv commentThis paper has been withdrawn by the authors. There are some serious gaps we cannot fix