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arXiv · 2011.11050

Nonlocal fractional elliptic and parabol{\i}c equat{\i}ons in Besov spaces and applications

Veli Shakhmurov
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Abstract

The maximal B_{p,q}^{s}-regularity properties of a nonlocal fractional elliptic equation is studied. Particularly, it is proven that the operator generated by this nonlocal ell{\i}p{\i}t{\i}c equation in B_{p,q}^{s} is sectorial and also is a generator of an analytic semigroup. Moreover, well-posedeness of nonlocal fractional parabolic equation in Besov spaces are established.

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Veli Shakhmurov. 2020-11-18. Nonlocal fractional elliptic and parabol{\i}c equat{\i}ons in Besov spaces and applications. https://arxiv.org/abs/2011.11050

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