English

Well-posedness for a class of nonlinear degenerate parabolic equations

Analysis of PDEs 2015-09-21 v1 Functional Analysis Optimization and Control

Abstract

In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding results for weighted Sobolev spaces.

Keywords

Cite

@article{arxiv.1509.05510,
  title  = {Well-posedness for a class of nonlinear degenerate parabolic equations},
  author = {Giuseppe Floridia},
  journal= {arXiv preprint arXiv:1509.05510},
  year   = {2015}
}