Robust Hölder Estimates for Parabolic Nonlocal Operators

Chaker J, Kaßmann M, Weidner M (2019)
arXiv:1912.09919.

Preprint | Englisch
 
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Abstract / Bemerkung
In this work we study parabolic equations determined by nonlocal operators in a general framework of bounded and measurable coefficients. Our emphasis is on the weak Harnack inequality and H\"older regularity estimates for solutions of such equations. We allow the underlying jump measures to be singular with a singularity that depends on the coordinate direction. This approach also allows to study several classes of non-singular jump measures that have not been dealt with so far. The main estimates are robust in the sense that the constants can be chosen independently of the order of differentiability of the operators.
Erscheinungsjahr
2019
Zeitschriftentitel
arXiv:1912.09919
Page URI
https://pub.uni-bielefeld.de/record/2956081

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Chaker J, Kaßmann M, Weidner M. Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912.09919. 2019.
Chaker, J., Kaßmann, M., & Weidner, M. (2019). Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912.09919
Chaker, J., Kaßmann, M., and Weidner, M. (2019). Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912.09919.
Chaker, J., Kaßmann, M., & Weidner, M., 2019. Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912.09919.
J. Chaker, M. Kaßmann, and M. Weidner, “Robust Hölder Estimates for Parabolic Nonlocal Operators”, arXiv:1912.09919, 2019.
Chaker, J., Kaßmann, M., Weidner, M.: Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912.09919. (2019).
Chaker, Jamil, Kaßmann, Moritz, and Weidner, Marvin. “Robust Hölder Estimates for Parabolic Nonlocal Operators”. arXiv:1912.09919 (2019).

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