Parabolic measure on domains of class Lip
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Perturbation theory for nonlinear Dirichlet problems.
Maeda, Fumi-Yuki, Ono, Takayori (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
Poisson Integrals and Boundary Components of Symmetric Spaces.
Adam Korányi (1976)
Inventiones mathematicae
Poisson kernel characterization of Reifenberg flat chord arc domains
Carlos E. Kenig, Tatiana Toro (2003)
Annales scientifiques de l'École Normale Supérieure
Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
Krzysztof Bogdan, Tomasz Byczkowski (1999)
Studia Mathematica
The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.
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