Copy For Citation
Shakhmurov V., Kurulay M.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.39, no.2, pp.923-931, 2023 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
39
Issue:
2
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Publication Date:
2023
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Doi Number:
10.1002/num.22910
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Journal Name:
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
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Page Numbers:
pp.923-931
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Keywords:
elliptic equations, fractional-differential equations, L-p-multipliers, maximal L-p regularity, parabolic equations, Sobolev spaces
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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.