arXiv 2211.092322022-11math.AP

Nonstationary Venttsel problems with discontinuous data

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

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

英文摘要：

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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英文摘要：

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Venttsel boundary value problems with discontinuous data