Geodesic
Heat Kernel of Anisotropic Nonlocal Operators
Documenta mathematica, Tome 25 (2020), pp. 1-54
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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.
DOI : 10.4171/dm/736
Classification : 35S10, 47D03, 60J35
Mots-clés : heat kernel, anisotropic Lévy kernel, parametrix 
@article{10_4171_dm_736,
     author = {Krzysztof Bogdan and Pawe{\l} Sztonyk and Victoria Knopova},
     title = {Heat {Kernel} of {Anisotropic} {Nonlocal} {Operators}},
     journal = {Documenta mathematica},
     pages = {1--54},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/736},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/736/}
}
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Krzysztof Bogdan; Paweł Sztonyk; Victoria Knopova. Heat Kernel of Anisotropic Nonlocal Operators. Documenta mathematica, Tome 25 (2020), pp. 1-54. doi: 10.4171/dm/736

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