Intrinsic scaling properties for nonlocal operators II

Kaßmann M, Mimica A (2014)
arXiv:1412.7566.

Preprint | Englisch
 
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Autor*in
Kaßmann, MoritzUniBi ; Mimica, Ante
Abstract / Bemerkung
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 developed for partial differential operators. Since the integrodifferential operators under consideration generate Markov jump processes, we are able to offer an alternative approach using probabilistic techniques.
Erscheinungsjahr
2014
Zeitschriftentitel
arXiv:1412.7566
Page URI
https://pub.uni-bielefeld.de/record/2956123

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Kaßmann M, Mimica A. Intrinsic scaling properties for nonlocal operators II. arXiv:1412.7566. 2014.
Kaßmann, M., & Mimica, A. (2014). Intrinsic scaling properties for nonlocal operators II. arXiv:1412.7566
Kaßmann, M., and Mimica, A. (2014). Intrinsic scaling properties for nonlocal operators II. arXiv:1412.7566.
Kaßmann, M., & Mimica, A., 2014. Intrinsic scaling properties for nonlocal operators II. arXiv:1412.7566.
M. Kaßmann and A. Mimica, “Intrinsic scaling properties for nonlocal operators II”, arXiv:1412.7566, 2014.
Kaßmann, M., Mimica, A.: Intrinsic scaling properties for nonlocal operators II. arXiv:1412.7566. (2014).
Kaßmann, Moritz, and Mimica, Ante. “Intrinsic scaling properties for nonlocal operators II”. arXiv:1412.7566 (2014).

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