Increased Integrability of the Gradient of the Solution to the Zaremba Problem for the Poisson Equation
Alkhutov Y.A. Chechkin G.A.
March 2021Pleiades journals
Doklady Mathematics
2021#103Issue 269 - 71 pp.
Abstract: An estimate is obtained for the increased integrability of the gradient of the solution to the Zaremba problem in a bounded plane domain with a Lipschitz boundary and rapidly alternating Dirichlet and Neumann boundary conditions, with an increased integrability exponent independent of the frequency of the boundary condition change.
embedding theorems , Meyers estimates , rapidly changing type of boundary conditions
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A.G. and N.G. Stoletovs Vladimir State University, Vladimir, 600000, Russian Federation
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991, Russian Federation
Institute of Mathematics with Computing Center, Ufa Federal Research Center, Russian Academy of Science, Ufa, 450000, Bashkortostan, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
A.G. and N.G. Stoletovs Vladimir State University
Faculty of Mechanics and Mathematics
Institute of Mathematics with Computing Center
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026