Corpus ID: 209439402

Robust Hölder Estimates for Parabolic Nonlocal Operators

@article{Chaker2019RobustHE,
  title={Robust H{\"o}lder Estimates for Parabolic Nonlocal Operators},
  author={Jamil Chaker and M. Kassmann and Marvin Weidner},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
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… Expand

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