Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms
Joint Authors
Boulaaras, Salah Mahmoud
Mezouar, Nadia
Allahem, Ali
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-04
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
In this paper, a nonlinear viscoelastic Kirchhoff equation in a bounded domain with a time-varying delay term and logarithmic nonlinearity in the weakly nonlinear internal feedback is considered, where the global and local existence of solutions in suitable Sobolev spaces by means of the energy method combined with Faedo-Galerkin procedure is proved with respect to the condition of the weight of the delay term in the feedback and the weight of the term without delay and the speed of delay.
Furthermore, a general stability estimate using some properties of convex functions is given.
These results extend and improve many results in the literature.
American Psychological Association (APA)
Mezouar, Nadia& Boulaaras, Salah Mahmoud& Allahem, Ali. 2020. Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms. Complexity،Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1143564
Modern Language Association (MLA)
Mezouar, Nadia…[et al.]. Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms. Complexity No. 2020 (2020), pp.1-25.
https://search.emarefa.net/detail/BIM-1143564
American Medical Association (AMA)
Mezouar, Nadia& Boulaaras, Salah Mahmoud& Allahem, Ali. Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms. Complexity. 2020. Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1143564
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143564