Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions-Reference-Cited by-同舟云学术

Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions

Published:2018-01-03 Issue:1 Volume:2018 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Lee Mi Jin,Park Jong Yeoul

Funder

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT and Future Planning

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-017-0918-2.pdf

Reference35 articles.

1. Cavalcanti, MM, Domingos Cavalcanti, VN, Soriano, JA: Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping. Electron. J. Differ. Equ. 2002, Article ID 44 (2002)

2. Berrimi, S, Messaoudi, SA: Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping. Electron. J. Differ. Equ. 2004, Article ID 88 (2004)

3. Cavalcanti, MM, Oquendo, HP: Frictional versus viscoelastic damping in a semilinear wave equation. SIAM J. Control Optim. 42(4), 1310-1324 (2003)

4. Cavalcanti, MM, Domingos Cavalcanti, VN, Prates Filho, JS, Soriano, JA: Existence and uniform decay rate for viscoelstic problems with nonlinear boundary damping. Differ. Integral Equ. 14(1), 85-116 (2001)

5. Liu, W, Sun, Y, Li, G: On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term. Topol. Methods Nonlinear Anal. 49(1), 299-323 (2017)

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