Article ID Journal Published Year Pages File Type
1156050 Stochastic Processes and their Applications 2009 13 Pages PDF
Abstract

We construct triplets of killed Brownian motions to obtain inequalities relating the solutions of the Schrödinger equation 12Δψ−hψ=0, with non-negative boundary conditions, on three interrelated compact sets in Euclidean space. These, in particular, include inequalities relating harmonic functions on the three compact convex sets and an inequality relating to solutions of the hh-equilibrium potential equations.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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