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- W1971878537 abstract "The existence and uniqueness in Sobolev spaces of solutions of the Cauchy problem to parabolic integro-differential equation of the order {alpha}in(0,2) is investigated. The principal part of the operator has kernel m(t,x,y)/|y|^{d+{alpha}} with a bounded nondegenerate m, Holder in x and measurable in y. The lower order part has bounded and measurable coefficients. The result is applied to prove the existence and uniqueness of the corresponding martingale problem." @default.
- W1971878537 created "2016-06-24" @default.
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- W1971878537 date "2011-12-19" @default.
- W1971878537 modified "2023-10-18" @default.
- W1971878537 title "On the Cauchy problem for integro-differential operators in Sobolev classes and the martingale problem" @default.
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- W1971878537 doi "https://doi.org/10.48550/arxiv.1112.4467" @default.
- W1971878537 hasPublicationYear "2011" @default.
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