Geodesic
Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
Studia Mathematica, Tome 133 (1999) no. 1, pp. 53-92

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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.
DOI : 10.4064/sm-133-1-53-92
Keywords: α-stable Lévy processes, α-stable Feynman-Kac semigroup, weak fractional Laplacian, α-stable Schrödinger operator, potential theory, q-harmonic functions, conditional gauge theorem 
Krzysztof Bogdan. Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains. Studia Mathematica, Tome 133 (1999) no. 1, pp. 53-92. doi: 10.4064/sm-133-1-53-92
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