Sharp growth estimates for modified Poisson integrals in a half space
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Publication:5952186
DOI10.1023/A:1011817130061zbMath0987.31003arXivmath/0101016OpenAlexW1648016444MaRDI QIDQ5952186
Publication date: 16 June 2002
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0101016
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)
Related Items (17)
Dirichlet problems for harmonic functions in half spaces ⋮ On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space ⋮ Growth of certain harmonic functions in an \(n\)-dimensional cone ⋮ Asymptotic behavior for a class of modified \(\alpha \)-potentials in a half space ⋮ Derivation of specific solutions and asymptotic analysis for the cylindrical Dirichlet problem ⋮ Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ Dirichlet problem for the Schrödinger operator in a half space ⋮ Modified Poisson integral and Green potential on a half-space ⋮ The generalized Matsaev theorem on growth of subharmonic functions admitting a lower bound in ℝn ⋮ Neumann problem on a half-space ⋮ Cylindrical Poisson kernel method and its applications ⋮ Growth estimates for modified Neumann integrals in a half-space ⋮ Dirichlet problem on the upper half space ⋮ Integral representations for harmonic functions of infinite order in a cone ⋮ The Dirichlet problem on the upper half-space ⋮ Growth estimates for modified Green potentials in the upper-half space ⋮ Solving integral representations problems for the stationary Schrödinger equation
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