Nonstationary Venttsel problems with discontinuous data
Analysis of PDEs
2023-02-07 v2
Abstract
We study linear and quasilinear Venttsel initial-boundary value problems for parabolic operators with discontinuous coefficients. On the basis of the a priori estimates obtained, strong solvability in composite Sobolev spaces is proved.
Keywords
Cite
@article{arxiv.2211.09232,
title = {Nonstationary Venttsel problems with discontinuous data},
author = {D. E. Apushkinskaya and A. I. Nazarov and D. K. Palagachev and L. G. Softova},
journal= {arXiv preprint arXiv:2211.09232},
year = {2023}
}
Comments
35 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1907.03017