Geodesic
Harnack's inequality for parabolic nonlocal equations
Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 6, pp. 1709-1745
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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.

DOI : 10.1016/j.anihpc.2019.03.003
Classification : 35K10, 35B65, 35R11
Keywords: Nonlocal parabolic equations, Harnack inequalities, Local boundedness 
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     author = {Str\"omqvist, Martin},
     title = {Harnack's inequality for parabolic nonlocal equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1709--1745},
     year = {2019},
     publisher = {Elsevier},
     volume = {36},
     number = {6},
     doi = {10.1016/j.anihpc.2019.03.003},
     mrnumber = {4002171},
     zbl = {1421.35190},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2019.03.003/}
}
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Strömqvist, Martin. Harnack's inequality for parabolic nonlocal equations. Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 6, pp. 1709-1745. doi: 10.1016/j.anihpc.2019.03.003

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