Boundary conditions on curves for the three-dimensional Laplace operator

DOI10.1007/BF01305289zbMath0512.35039MaRDI QIDQ1839364

Yaroslav Kurylev

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsLaplacianself-adjoint extension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear symmetric and selfadjoint operators (unbounded) (47B25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Generalized solutions to partial differential equations (35D99)

Related Items (2)

STRONG-COUPLING ASYMPTOTIC EXPANSION FOR SCHRÖDINGER OPERATORS WITH A SINGULAR INTERACTION SUPPORTED BY A CURVE IN ℝ³ ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\)

This page was built for publication: Boundary conditions on curves for the three-dimensional Laplace operator