On the Fredholm and unique solvability of nonlocal elliptic problems in multidimensional domains

DOI10.1090/S0077-1554-07-00164-1zbMath1158.35028arXiv1404.6903MaRDI QIDQ3530542

Pavel L. Gurevich, Alexander L. Skubachevskii

Publication date: 20 October 2008

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6903

zbMATH Keywords

elliptic equationnonlocal problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05)

Related Items (4)

Nonclassical boundary-value problems. II ⋮ On the existence of a Feller semigroup with atomic measure in a nonlocal boundary condition ⋮ Elliptic problems with nonlocal boundary conditions and Feller semigroups ⋮ Nonclassical boundary value problems. I. Transl. from the Russian

Cites Work

• Unnamed Item
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• Solvability of nonlocal elliptic problems in Sobolev spaces
• Solvability of nonlocal elliptic problems in Sobolev spaces. II
• Regularity of solutions of a nonlocal elliptic problem
• Elliptic problems in domains with piecewise smooth boundaries
• On the stability of index of nonlocal elliptic problems
• Asymptotics of solutions for nonlocal elliptic problems in plane angles
• Nonlocal problems for elliptic equations in dihedral angles and the Green formula
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A condition for the compactness of operators in a certain class and its application to the analysis of the solubility of non-local problems for elliptic equations
• Non-local elliptic problems with non-linear argument transformations near the points of conjugation
• Nonlocal Elliptic Problems in Dihedral Angles and Functional Differential Equations
• Solvability of nonlocal elliptic problems in weight spaces
• Elliptic functional differential equations and applications

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