Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces

Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces

We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is a general model for some anomalous diffusion equations. By using the theory of integral equations with completely positive kernel together with local estimates, some existence, regularity and stability resu...

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Veröffentlicht in:Journal of mathematical analysis and applications 2020-03, Vol.483 (2), p.123655, Article 123655
Hauptverfasser: Ke, Tran Dinh, Thang, Nguyen Nhu, Thuy, Lam Tran Phuong
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Mathematics
Mathematics, Applied
Mild solution
Nonlocal differential equation
Physical Sciences
Regularity
Science & Technology
Weak solution
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Zusammenfassung:We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is a general model for some anomalous diffusion equations. By using the theory of integral equations with completely positive kernel together with local estimates, some existence, regularity and stability results are established. An application to nonlocal partial differential equations is shown to demonstrate our abstract results.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.123655