On the Poisson Kernel for the Neumann Problem of Schrödinger Operators

DOI10.1112/jlms/s2-36.2.370zbMath0624.60070OpenAlexW2145487956MaRDI QIDQ3025984

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-36.2.370

zbMATH Keywords

Schrödinger operatorsNeumann boundary conditionPoisson kernelFeynman-Kac semigroupreflecting Brownian motionunique weak solutiongrowth rate near the boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffusion processes (60J60) Schrödinger operator, Schrödinger equation (35J10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Boundary value problems on manifolds (58J32)

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The heat equation and reflected Brownian motion in time-dependent domains. ⋮ On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions ⋮ Probabilistic interpretation of the Calderón problem ⋮ The probabilistic solution of the third boundary value problem for second order elliptic equations

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