Naslov
Intrinsic scaling properties for nonlocal operators

Autori
Kassmann, Moritz ; Mimica, Ante

Izvornik
Journal of the european mathematical society (1435-9855) 19 (2017), 4; 983-1011

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
integrodifferential operators ; regularity ; jump processes ; intrinsic scaling

Sažetak
We study integrodifferential operators and regularity estimates for solutions to integrodifferential equations. Our emphasis is on kernels with a critically low singularity which does not allow for standard scaling. For example, we treat operators that have a logarithmic order of differentiability. For corresponding equations we prove a growth lemma and derive a priori estimates. We derive these estimates by classical methods from partial differential operators. Since the integrodifferential operators under consideration generate Markov jump processes, we are able to offer an alternative approach using probabilistic techniques.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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