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Unilateral problems for the wave equation with degenerate and localized nonlinear damping: well-posedness and non-stability results

  • Published:2018-03-30 Issue:8-9 Volume:291 Page:1216-1239
  • ISSN:0025-584X
  • Container-title:Mathematische Nachrichten
  • language:en
  • Short-container-title:Math. Nachr.

Author:

Cavalcanti A. D. D.1,Cavalcanti M. M.2,Fatori L. H.3,Silva M. A. Jorge3

Affiliation:

1. Department of Engineering Chemistry; State University of Campinas; 13083-970 Campinas, SP Brazil

2. Department of Mathematics; State University of Maringá; 87020-900 Maringá, PR Brazil

3. Department of Mathematics; State University of Londrina; 86057-970 Londrina, PR Brazil

Funder

Fundação Araucária

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Wiley

Subject

General Mathematics

Reference52 articles.

1. Global solutions to boundary value problems for a nonlinear wave equation in high space dimensions;Agre;Differential Integral Equations,2001

2. Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems;Alabau-Boussouira;Appl. Math. Optim.,2005

3. Controllability of a string submitted to unilateral constraint;Ammar-Khodja;Ann. Inst. H. Poincaré Anal. Non Linéaire,2010

4. Uniform decay for the unilateral problem associated to the Kirchhoff type wave equations with nonlinear boundary damping;Bae;Appl. Math. Comput.,2004

5. Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms;Barbu;Indiana Univ. Math. J.,2007

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. UNILATERAL PROBLEM FOR A NONLINEAR WAVE EQUATION WITH P-LAPLACIAN OPERATOR;Journal of Applied Analysis & Computation;2021
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