English

Parabolic oblique derivative problem in generalized Morrey spaces

Analysis of PDEs 2025-12-23 v1

Abstract

We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the strong solution belongs to the corresponding generalized Sobolev-Morrey space.

Keywords

Cite

@article{arxiv.1301.0388,
  title  = {Parabolic oblique derivative problem in generalized Morrey spaces},
  author = {Lubomira Softova},
  journal= {arXiv preprint arXiv:1301.0388},
  year   = {2025}
}
R2 v1 2026-06-21T23:03:15.464Z