Nonlocal fractional elliptic equations and applications


Shakhmurov V., Kurulay M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1002/num.22910
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: elliptic equations, fractional-differential equations, L-p-multipliers, maximal L-p regularity, parabolic equations, Sobolev spaces
  • Yıldız Technical University Affiliated: Yes

Abstract

The L-p-coercive properties of a nonlocal fractional elliptic equation is studied. Particularly, it is proved that the fractional elliptic operator generated by this equation is sectorial in L-p space and also is a generator of an analytic semigroup. Moreover, by using the L-p-separability properties of the given elliptic operator the maximal regularity of the corresponding nonlocal fractional parabolic equation is established.