JournalsaihpcVol. 36, No. 6pp. 1709–1745

Harnack's inequality for parabolic nonlocal equations

  • Martin Strömqvist

    Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden
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Abstract

The main result of this paper is a nonlocal version of Harnack's inequality for a class of parabolic nonlocal equations. We additionally establish a weak Harnack inequality as well as local boundedness of solutions. None of the results require the solution to be globally positive.

Cite this article

Martin Strömqvist, Harnack's inequality for parabolic nonlocal equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 6, pp. 1709–1745

DOI 10.1016/J.ANIHPC.2019.03.003