Boundary trace operator in a domain of Hilbert space and the characteristic property of its kernel

DOI10.1007/s11253-016-1179-4zbMath1387.46030OpenAlexW2404724452MaRDI QIDQ1699434

Yu. V. Bogdanskij

Publication date: 23 February 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1179-4

zbMATH Keywords

boundary trace operatordensity of small functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

Transitivity of the surface measures on Banach manifolds with uniform structures ⋮ Divergence theorem in the \(L_2\)-version. Application to the Dirichlet problem ⋮ Laplacian with respect to a measure on the Riemannian manifold and the Dirichlet problem. II ⋮ Maximum principle for the Laplacian with respect to a measure in a domain of the Hilbert space ⋮ Laplacian with respect to a measure on a Riemannian manifold and the Dirichlet problem. I ⋮ Infinite-dimensional version of the Friedrichs inequality ⋮ Surface measures on Banach manifolds with uniform structure

Cites Work

• Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation
• The Dirichlet problem with Laplacian with respect to a measure in the Hilbert space
• Banach manifolds with bounded structure and the Gauss-Ostrogradskii formula
• Unnamed Item

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