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arXiv · 2211.09232

Nonstationary Venttsel problems with discontinuous data

D. E. Apushkinskaya·A. I. Nazarov·D. K. Palagachev·L. G. Softova
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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.

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D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova. 2022-11-16. Nonstationary Venttsel problems with discontinuous data. https://arxiv.org/abs/2211.09232

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