English

Strong traces to degenerate parabolic equations

Analysis of PDEs 2022-10-10 v2

Abstract

We prove existence of strong traces at t=0t=0 for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the space dimension.

Keywords

Cite

@article{arxiv.2008.08307,
  title  = {Strong traces to degenerate parabolic equations},
  author = {Marko Erceg and Darko Mitrović},
  journal= {arXiv preprint arXiv:2008.08307},
  year   = {2022}
}
R2 v1 2026-06-23T17:57:25.509Z