Increased Integrability of the Gradient of the Solution to the Zaremba Problem for the Poisson Equation
Yu. A. Alkhutov, Gregory Aleksandrovich Chechkin · Doklady Mathematics · 2021
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.