Geodesic
Heat Kernel of Anisotropic Nonlocal Operators
Documenta mathematica, Tome 25 (2020), pp. 1-54.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We construct and estimate the fundamental solution of highly anisotropic space-inhomogeneous integro-differential operators. We use the Levy method. We give applications to the Cauchy problem for such operators.
Classification : 35S10, 47D03, 60J35
Keywords: anisotropic Lévy kernel, heat kernel, parametrix 
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     author = {Bogdan, Krzysztof and Sztonyk, Pawe{\l} and Knopova, Victoria},
     title = {Heat {Kernel} of {Anisotropic} {Nonlocal} {Operators}},
     journal = {Documenta mathematica},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a71/}
}
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Bogdan, Krzysztof; Sztonyk, Paweł; Knopova, Victoria. Heat Kernel of Anisotropic Nonlocal Operators. Documenta mathematica, Tome 25 (2020), pp. 1-54. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a71/