paper

Nonstationary Venttsel problems with discontinuous data

arXiv:2211.09232

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.

35 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1907.03017