Robust Hölder Estimates for Parabolic Nonlocal Operators
Chaker, Jamil
Chaker
Jamil
Kaßmann, Moritz
Kaßmann
Moritz
Weidner, Marvin
Weidner
Marvin
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.
2019