English

Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms

Analysis of PDEs 2022-07-29 v2

Abstract

We establish Lq,pL_{q,p}-estimates and solvability for mixed Dirichlet-conormal problems for parabolic equations in a cylindrical Reifenberg-flat domain with a rough time-dependent separation.

Keywords

Cite

@article{arxiv.2203.03321,
  title  = {Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms},
  author = {Jongkeun Choi and Hongjie Dong and Zongyuan Li},
  journal= {arXiv preprint arXiv:2203.03321},
  year   = {2022}
}

Comments

minor revision, accepted in Calc. Var. Partial Differential Equations. arXiv admin note: text overlap with arXiv:2101.01654