Nonlocal fractional elliptic and parabolıc equatıons in Besov spaces and applications

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 ellıpıtıc 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.

arXiv commentarXiv admin note: text overlap with arXiv:1912.13422