Özet
The Lp-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 Lp space and also is a generator of an analytic semigroup. Moreover, by using the Lp-separability properties of the given elliptic operator the maximal regularity of the corresponding nonlocal fractional parabolic equation is established.
Orijinal dil | İngilizce |
---|---|
Sayfa (başlangıç-bitiş) | 923-931 |
Sayfa sayısı | 9 |
Dergi | Numerical Methods for Partial Differential Equations |
Hacim | 39 |
Basın numarası | 2 |
DOI'lar | |
Yayın durumu | Yayınlandı - Mar 2023 |
Harici olarak yayınlandı | Evet |
Bibliyografik not
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