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http://dspace.univ-temouchent.edu.dz/handle/123456789/5305| Title: | Well-posedness and general energy decay of solution for transmission problem with weakly nonlinear dissipative |
| Authors: | BENIANI, ABDERRAHMANE |
| Keywords: | Transmission problem Faedo–Galerkin method |
| Issue Date: | 31-aoû-2021 |
| Publisher: | Journal of Integral Equations and Applications |
| Series/Report no.: | JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS;Volume 33 (2021), No. 2, 155–170 |
| Abstract: | In this paper, we consider a transmission problem in a bounded domain with a nonlinear dissipation in the first equation. Under suitable assumptions on the weight of the damping, we show the existence and uniqueness of solution by the Faedo–Galerkin method. Also we prove general stability estimates using some properties of convex functions and Lyaponov functional. |
| URI: | http://dspace.univ-temouchent.edu.dz/handle/123456789/5305 |
| Appears in Collections: | Département mathématique et informatique |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Class A -WELL-POSEDNESSANDGENERALENERGYDECAYOFSOLUTION.pdf | JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 258,21 kB | Adobe PDF | View/Open |
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