Green's functions for the Schrödinger equation with short-range potentials

DOI10.1215/S0012-7094-89-05922-XzbMath0728.35027OpenAlexW1551853771MaRDI QIDQ804815

Zhongxin Zhao, Ira W. Herbst

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05922-x

zbMATH Keywords

Green's functionpositive solutionsMartin boundaryextreme pointsupper and lower boundsPoisson kernelshort-range potentials

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Martin boundary theory (31C35) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

Semismall perturbations in the Martin theory for elliptic equations ⋮ Lower estimates for a perturbed Green function ⋮ Pointwise estimates of solutions to semilinear elliptic equations and inequalities ⋮ On the existence of positive solutions of nonlinear elliptic equations -- a probabilistic potential theory approach ⋮ The 3G-inequality for general Schrödinger operators on Lipschitz domains ⋮ Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations ⋮ On critical and subcritical Sturm-Liouville operators ⋮ Estimates on the solution of a schrödinger equation and some applications ⋮ On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions

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