Nonlocal fractional elliptic equations and applications

Veli Shakhmurov; Muhammet Kurulay

doi:10.1002/num.22910

Nonlocal fractional elliptic equations and applications

Veli Shakhmurov
, Muhammet Kurulay^*

^*Bu çalışma için yazışmadan sorumlu yazar

Antalya Bilim University
Azerbaijan State University of Economics
Yildiz Technical University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

1 Atıf (Scopus)

Özet

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.

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	https://doi.org/10.1002/num.22910
Yayın durumu	Yayınlandı - Mar 2023
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2022 Wiley Periodicals LLC.

Belgeye Erişim

10.1002/num.22910

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{299e5cbd07b2448bb6b481a820095b29,

title = "Nonlocal fractional elliptic equations and applications",

abstract = "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.",

keywords = "L-multipliers, Sobolev spaces, elliptic equations, fractional-differential equations, maximal L regularity, parabolic equations",

author = "Veli Shakhmurov and Muhammet Kurulay",

note = "Publisher Copyright: {\textcopyright} 2022 Wiley Periodicals LLC.",

year = "2023",

month = mar,

doi = "10.1002/num.22910",

language = "English",

volume = "39",

pages = "923--931",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

publisher = "John Wiley \& Sons Inc.",

number = "2",

}

TY - JOUR

T1 - Nonlocal fractional elliptic equations and applications

AU - Shakhmurov, Veli

AU - Kurulay, Muhammet

PY - 2023/3

Y1 - 2023/3

N2 - 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.

AB - 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.

KW - L-multipliers

KW - Sobolev spaces

KW - elliptic equations

KW - fractional-differential equations

KW - maximal L regularity

KW - parabolic equations

UR - https://www.scopus.com/pages/publications/85140060226

U2 - 10.1002/num.22910

DO - 10.1002/num.22910

M3 - Article

AN - SCOPUS:85140060226

SN - 0749-159X

VL - 39

SP - 923

EP - 931

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 2

ER -

Nonlocal fractional elliptic equations and applications

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap