Venttsel boundary value problems with discontinuous data
Analysis of PDEs
2020-10-20 v2
Abstract
We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved.
Keywords
Cite
@article{arxiv.1907.03017,
title = {Venttsel boundary value problems with discontinuous data},
author = {Darya E. Apushkinskaya and Alexander I. Nazarov and Dian K. Palagachev and Lubomira G. Softova},
journal= {arXiv preprint arXiv:1907.03017},
year = {2020}
}
Comments
Dedicated to Nina N. Uraltseva with admiration; 2 figures, to appear in "SIAM Journal on Mathematical Analysis", Sept. 12, 2019 (submitted); Sept. 30, 2020 (accepted)