Nonlocal fractional elliptic equations and applications
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Numerical Methods for Partial Differential Equations
Abstract
The Lp-coercive properties of a nonlocal fractional ellip tic equation is studied. Particularly, it is proved that the
fractional elliptic operator generated by this equation is sec torial in Lp space and also is a generator of an analytic
semigroup. Moreover, by using the Lp-separability proper ties of the given elliptic operator the maximal regularity of
the corresponding nonlocal fractional parabolic equation is
established.
Description
Keywords
Elliptic equations, Eliptik denklemler, Fractional-differential equations, Kesirli diferansiyel denklemler, Lp-multipliers, Lp çarpanları, Maximal Lp regularity, Maksimal Lp düzenliliği, Parabolic equations, Parabolik denklemler, Sobolev spaces, Sobolev uzayları
Citation
Shakhmurov, V. & Kurulay, M. (2022). Nonlocal fractional elliptic equations and applications. Numerical Methods for Partial Differential Equations, 39(2), 923-931.