English

Stability of degenerate parabolic Cauchy problems

Analysis of PDEs 2014-01-14 v1

Abstract

We prove that solutions to Cauchy problems related to the pp-parabolic equations are stable with respect to the nonlinearity exponent pp. More specifically, solutions with a fixed initial trace converge in an LqL^q-space to a solution of the limit problem as p>2p>2 varies.

Keywords

Cite

@article{arxiv.1401.2772,
  title  = {Stability of degenerate parabolic Cauchy problems},
  author = {Teemu Lukkari and Mikko Parviainen},
  journal= {arXiv preprint arXiv:1401.2772},
  year   = {2014}
}