On Feller semigroups generated by elliptic operators with integro-differential boundary conditions

DOI10.1006/jdeq.2000.3976zbMath1008.35015OpenAlexW1995827875MaRDI QIDQ5955179

Alexander L. Skubachevskii, Evgeny Galakhov

Publication date: 22 April 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3976

zbMATH Keywords

positive maximum principleWentzell boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Miscellaneous topics in partial differential equations (35R99) Transition functions, generators and resolvents (60J35) Integro-differential operators (47G20)

Related Items (14)

To the theory of boundary-value problems for elliptic equations with superposition operators in the boundary condition. I ⋮ Diffusion with nonlocal Robin boundary conditions ⋮ Initial-boundary value problems for the Vlasov-Poisson equations in a half-space ⋮ Nonclassical boundary-value problems. II ⋮ Diffusion with nonlocal Dirichlet boundary conditions on domains ⋮ On the existence of a Feller semigroup with atomic measure in a nonlocal boundary condition ⋮ Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions ⋮ Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary ⋮ Unbounded perturbations of two-dimensional diffusion processes with nonlocal boundary conditions ⋮ Elliptic problems with nonlocal boundary conditions and Feller semigroups ⋮ On the solvability of the first nonlocal boundary value problem for an elliptic equation ⋮ Diffusion with nonlocal boundary conditions ⋮ Nonclassical boundary value problems. I. Transl. from the Russian ⋮ Venttsel Boundary Value Problems with Discontinuous Data

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