Intrinsic scaling properties for nonlocal operators (CROSBI ID 218902)
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Podaci o odgovornosti
Kassmann, Moritz ; Mimica, Ante
engleski
Intrinsic scaling properties for nonlocal operators
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.
integrodifferential operators ; regularity ; jump processes ; intrinsic scaling
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Podaci o izdanju
19 (4)
2017.
983-1011
objavljeno
1435-9855
10.4171/JEMS/686