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arXiv · 1810.00262

On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized H\"older spaces

R. Mikulevicius·Fanhui Xu
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Abstract

Parabolic integro-differential non degenerate Cauchy problem is considered in the scale of H\"older spaces of functions whose regularity is defined by a radially O-regularly varying L\'evy measure. Existence and uniqueness and the estimates of the solution are derived.

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R. Mikulevicius, Fanhui Xu. 2018-09-29. On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized H\"older spaces. https://arxiv.org/abs/1810.00262

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