Nonstationary Venttsel Problem with VMOx Leading Coefficients

We obtain some new results on strong solvability in Sobolev spaces of the linear Venttsel initial-boundary value problem for parabolic equations with discontinuous leading coefficients.

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Bibliographic Details
Published inDoklady. Mathematics Vol. 107; no. 2; pp. 97 - 100
Main Authors Apushkinskaya, D. E., Nazarov, A. I., Palagachev, D. K., Softova, L. G.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.04.2023
Springer Nature B.V
Subjects
Boundary value problems
Mathematics
Mathematics and Statistics
Sobolev space
linear second-order parabolic equations
Venttsel problem
a priori estimates
solvability
uniqueness
class
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Summary:We obtain some new results on strong solvability in Sobolev spaces of the linear Venttsel initial-boundary value problem for parabolic equations with discontinuous leading coefficients.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562423700679