Publication Cover
Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 6
136
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Pseudoparabolic equations with variable exponents and coefficients: blow-up and large time behaviors

Pages 1786-1797 | Received 15 Feb 2021, Accepted 27 Oct 2021, Published online: 16 Nov 2021
 

ABSTRACT

In this paper, the following nonlinear generalized pseudoparabolic equation with variable exponents and coefficients is considered: utdiv(α(x,t)|u|σ(x)2ut+β(x,t)|u|p(x)2u)=γ(x,t)|u|m(x)2u.Under suitable assumptions on the specified initial data and the variable exponents q, p, m, and the coefficients α,β,γ, the finite-time blow-up and large time behavior (exponential and power decay) of the weak solutions are established.

2020 MATHEMATICS SUBJECT CLASSIFICATIONS:

Acknowledgments

The author is very grateful to the referees for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the grant of the Ministry of Education and Science of the Republic of Kazakhstan (MES RK), Kazakhstan [Grant no. AP08052425].

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.