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39 p, 494.2 KB The Dirichlet problem for nonlocal Lévy-type operators / Rutkowski, Artur (Wroclaw University of Science and Technology (Wroclaw, Polònia). Faculty of Pure and Applied Mathematics)
We present the theory of the Dirichlet problem for nonlocal operators which are the generators of general pure-jump symmetric Lévy processes whose Lévy measures need not be absolutely continuous. We establish basic facts about the Sobolev spaces for such operators, in particular we prove the existence and uniqueness of weak solutions. [...]
2018 - 10.5565/PUBLMAT6211811
Publicacions matemàtiques, Vol. 62 Núm. 1 (2018) , p. 213-251 (Articles)  
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