Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains

Bogdan, Krzysztof; Byczkowski, Tomasz

Studia Mathematica, Tome 133 (1999), p. 53-92 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1999-01-01

Zbl 0923.31003

EUDML-ID : urn:eudml:doc:216605

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     author = {Krzysztof Bogdan and Tomasz Byczkowski},
     title = {Potential theory for the $\alpha$-stable Schr\"odinger operator on bounded Lipschitz domains},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {53-92},
     zbl = {0923.31003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv133i1p53bwm}
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Bogdan, Krzysztof; Byczkowski, Tomasz. Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains. Studia Mathematica, Tome 133 (1999) pp. 53-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i1p53bwm/

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