Journal
DOKLADY MATHEMATICS
Volume 103, Issue 2, Pages 69-71Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S1064562421020022
Keywords
Meyers estimates; embedding theorems; rapidly changing type of boundary conditions
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Funding
- Russian Foundation for Basic Research [19-01-00184]
- Russian Science Foundation [20-11-20272]
- Russian Science Foundation [20-11-20272] Funding Source: Russian Science Foundation
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The study provides an estimate 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 the increased integrability exponent being independent of the frequency of the boundary condition change.
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.
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