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Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term.
- Source :
- Evolution Equations & Control Theory; Aug2022, Vol. 11 Issue 4, p1149-1173, 25p
- Publication Year :
- 2022
-
Abstract
- In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR equations
NONLINEAR wave equations
WAVE equation
CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 21632472
- Volume :
- 11
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Evolution Equations & Control Theory
- Publication Type :
- Academic Journal
- Accession number :
- 158757864
- Full Text :
- https://doi.org/10.3934/eect.2021038