On the Schroedinger operator based on the fractional Laplacian

• Autorzy: Bogdan K. , Byczkowski T.
• Języki publikacji: EN

Abstrakty

EN

We announce new results in the potential theory of Schroedinger operators based on the fractional Laplacian on Euclidean spaces of arbitrary dimension. We concentrate on questions related to gaugeability and existence of q-harmonic functions. Results are obtained by analyzing properties of symmetric [alpha]-stable Levy processes on Rd, including the recurrent case. We also provide some explicit examples of gauge functions for a general class of domains.

Słowa kluczowe

EN

conditional gauge theorem; fractional Laplacian; q-harmonic function; Schroedinger operator; symmetric [alpha]-stable Levy process

PL

funkcja q-harmoniczna; operator Schroedingera

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2001
• Tom: Vol. 49, no 3
• Strony: 291--301
• Opis fizyczny: Bibliogr. 15 poz.,

Twórcy

autor

Bogdan K.

autor

Byczkowski T.

• Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland,