Global nonexistence of solutions for systems of quasilinear hyperbolic equations with damping and source terms

Author:

Ye Yaojun

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference22 articles.

1. Segal I: Nonlinear partial differential equation in quantum field theory. Proc. Symp. Appl. Math. 1965, 17: 210-226. 10.1090/psapm/017/0202406

2. Medeiros LA, Miranda MM: Weak solutions for a system of nonlinear Klein-Gordon equations. Ann. Mat. Pura Appl. 1987, CXLVI: 173-183.

3. Miranda MM, Medeiros LA: On the existence of global solutions of a coupled nonlinear Klein-Gordon equations. Funkc. Ekvacioj 1987, 30: 147-161.

4. da Silva Ferreira J: Exponential decay of the energy of a nonlinear system of Klein-Gordon equations with localized damping in bounded and unbounded domains. Asymptot. Anal. 1994, 8: 73-92.

5. Cavalcanti MM, Domingos Cavalcanti VN, Prates Filho JS, Soriano JA: Existence and uniform decay of a degenerate and generalized Klein-Gordon system with boundary damping. Commun. Appl. Anal. 2002, 21: 65-83.

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