Abstract
In the present paper, we discuss the existence and the long-time behavior of a system of two viscoelastic equations with variable-exponent nonlinearities acting in both equations. First, we establish in details the existence of solutions, then prove explicit and general decay results, under a very general assumption on the relaxation function and for suitable given data, to solutions with enough regularities. Our results extend and generalize many earlier results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1557-1595 |
| Number of pages | 39 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 16 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2023 American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Variable-exponents
- decay
- existence
- systems
- viscoelasticity
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Fingerprint
Dive into the research topics of 'ON THE EXISTENCE AND DECAY OF A VISCOELASTIC SYSTEM WITH VARIABLE-EXPONENT NONLINEARITY'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver