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.
Citation
Noureddine Bahri. Mama Abdelli. Abderrahmane Beniani. Khaled Zennir. "Well-posedness and general energy decay of solution for transmission problem with weakly nonlinear dissipative." J. Integral Equations Applications 33 (2) 155 - 170, Summer 2021. https://doi.org/10.1216/jie.2021.33.155
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