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

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

Download 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

Information

Received: 11 May 2020; Revised: 29 July 2020; Accepted: 7 September 2020; Published: Summer 2021
First available in Project Euclid: 31 August 2021

Digital Object Identifier: 10.1216/jie.2021.33.155

Subjects:
Primary: 35B40
Secondary: 35L05, 35L75

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
16 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.33 • No. 2 • Summer 2021
Back to Top