English

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

Analysis of PDEs 2014-07-09 v2

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.

Keywords

Cite

@article{arxiv.1205.4566,
  title  = {On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle},
  author = {Yuxi Hu and Yachun Li},
  journal= {arXiv preprint arXiv:1205.4566},
  year   = {2014}
}

Comments

This paper has been withdrawn by the authors.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

R2 v1 2026-06-21T21:07:11.062Z