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Chaker J, Kaßmann M, Weidner M. Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912.09919. 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 estimates are robust in the sense that the constants can be chosen independently of the order of differentiability of the operators
In this paper, we establish a scale invariant Harnack inequality for the fractional powers of parabo...
We prove Harnack type inequalities for non-negative weak solutions in (0 , T] × RN of parabolic prob...
Abstract We settle the open question concerning the Harnack inequality for globally positive soluti...
Chaker J, Kaßmann M, Weidner M. Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912...
Abstract. Weak solutions to parabolic integro-differential operators of order α ∈ (α0, 2) are studie...
In this work we study parabolic equations determined by nonlocal operators in a general framework of...
Felsinger M, Kaßmann M. Local Regularity for Parabolic Nonlocal Operators. Communications In Partial...
Kaßmann M, Weidner M. Nonlocal operators related to nonsymmetric forms I: Hölder estimates. arXiv:22...
The main result of this paper is a nonlocal version of Harnack's inequality for a class of parabolic...
Weidner M. Energy methods for nonsymmetric nonlocal operators. Bielefeld: Universität Bielefeld; 202...
Kaßmann M, Schwab RW. Regularity results for nonlocal parabolic equations. Riv. Math. Univ. Parma (N...
Chaker J, Kaßmann M. Nonlocal operators with singular anisotropic kernels. Communications in Partial...
AbstractWe prove a local maximum principle and weak Harnack inequality for parabolic difference ineq...
Forward, backward and elliptic Harnack inequalities for non–negative solutions of a class of singula...
Abstract. We consider second-order linear parabolic operators in non-divergence form that are intrin...
In this paper, we establish a scale invariant Harnack inequality for the fractional powers of parabo...
We prove Harnack type inequalities for non-negative weak solutions in (0 , T] × RN of parabolic prob...
Abstract We settle the open question concerning the Harnack inequality for globally positive soluti...
Chaker J, Kaßmann M, Weidner M. Robust Hölder Estimates for Parabolic Nonlocal Operators. arXiv:1912...
Abstract. Weak solutions to parabolic integro-differential operators of order α ∈ (α0, 2) are studie...
In this work we study parabolic equations determined by nonlocal operators in a general framework of...
Felsinger M, Kaßmann M. Local Regularity for Parabolic Nonlocal Operators. Communications In Partial...
Kaßmann M, Weidner M. Nonlocal operators related to nonsymmetric forms I: Hölder estimates. arXiv:22...
The main result of this paper is a nonlocal version of Harnack's inequality for a class of parabolic...
Weidner M. Energy methods for nonsymmetric nonlocal operators. Bielefeld: Universität Bielefeld; 202...
Kaßmann M, Schwab RW. Regularity results for nonlocal parabolic equations. Riv. Math. Univ. Parma (N...
Chaker J, Kaßmann M. Nonlocal operators with singular anisotropic kernels. Communications in Partial...
AbstractWe prove a local maximum principle and weak Harnack inequality for parabolic difference ineq...
Forward, backward and elliptic Harnack inequalities for non–negative solutions of a class of singula...
Abstract. We consider second-order linear parabolic operators in non-divergence form that are intrin...
In this paper, we establish a scale invariant Harnack inequality for the fractional powers of parabo...
We prove Harnack type inequalities for non-negative weak solutions in (0 , T] × RN of parabolic prob...
Abstract We settle the open question concerning the Harnack inequality for globally positive soluti...
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