On estimates for solutions of elliptic boundary value problems in a layer

DOI10.1134/S0012266111030177zbMath1231.47073OpenAlexW1994572393MaRDI QIDQ642003

Valery A. Nikishkin

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266111030177

zbMATH Keywords

boundary value problemssolvabilitysmoothness of solutionselliptic operators with constant coefficientsLopatinskij conditionSobolev spaces with exponential type weights

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (2)

On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer ⋮ Asymptotic behavior of solutions of boundary-value problems for the equation \(\Delta u - ku = f\) in a layer

Cites Work

• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Properties of solutions of ordinary differential equations in banach space
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