The boundary Harnack principle for the fractional Laplacian 论文

1997Studia Mathematica引用 236
Advanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsNumerical methods in inverse problems

摘要

We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near th