Uniform boundedness of conditional gauge and Schrödinger equations

DOI10.1007/BF01218637zbMath0545.35087OpenAlexW2094012091MaRDI QIDQ797062

Zhongxin Zhao

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01218637

zbMATH Keywords

Brownian motionSchrödinger equationstrictly positive solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (18)

The gauge theorem for a class of additive functionals of zero energy ⋮ Green function for Schrödinger operator and conditioned Feynman-Kac gauge ⋮ On the Lifetime of a Conditioned Brownian Motion in Domains Connected Through Small Gaps ⋮ Conditional transformation of drift formula and potential theory for \(\Delta +b(\cdot)\cdot \nabla\) ⋮ Intrinsic ultracontractivity and conditional gauge for symmetric stable processes ⋮ Potential kernels for radial Dunkl Laplacians ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ An elementary proof of Harnack's inequality for Schrödinger operators and related topics ⋮ Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime ⋮ Lower estimates for a perturbed Green function ⋮ On the Green function and Poisson integrals of the Dunkl Laplacian ⋮ The probabilistic solution of the Dirichlet problem for \({1\over2}\Delta+\langle a,\nabla\rangle+b\) with singular coefficients ⋮ Existence of positive solutions for nonlinear boundary value problems in bounded domains of \(\mathbb R^n\) ⋮ Gauge theorems for resolvents with application to Markov processes ⋮ Potential theory for the Schrödinger equation ⋮ Estimates for Dirichlet-to-Neumann maps as integro-differential operators ⋮ A Kato class for the Khon Laplacian ⋮ Green's functions for the Schrödinger equation with short-range potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Schrödinger semigroups
• Conditional brownian motion and the boundary limits of harmonic functions
• Conditional gauge with unbounded potential
• Feynman-Kac functionals and positive solutions of 1/2?u+qu=0
• Elliptic Partial Differential Equations of Second Order
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.

This page was built for publication: Uniform boundedness of conditional gauge and Schrödinger equations