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Heat kernel of anisotropic nonlocal operators

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arxiv 1704.03705 v1 pith:BFCYLCXO submitted 2017-04-12 math.AP math.PR

Krzysztof Bogdan , Pawe{l} Sztonyk , Victoria Knopova This is my paper · ORCID
classification math.APmath.PR
keywords operatorsanisotropicapplicationscauchyconstructestimatefundamentalgive
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We construct and estimate the fundamental solution of highly anisotropic space-inhomogeneous integro-differential operators. We use the Levi method. We give applications to the Cauchy problem for such operators.

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  1. On the anisotropic stable JCIR process

    math.PR 2019-08 accept novelty 7.0 of 10

    For the anisotropic stable JCIR process, the heat kernel exists and obeys a weighted anisotropic Besov bound, the strong Feller property holds, and in the subcritical case convergence to the invariant measure is expon...

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