Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00033-010-0082-3.pdf
Reference43 articles.
1. Aassila M., Cavalcanti M.M., Soriano J.A.: Asymptotic stability and energy decay rates for solutions of the wave equation with memory in a star-shaped domain. SIAM J. Control Optim. 38(5), 1581–1602 (2000)
2. Agre K., Rammaha M.A.: Systems of nonlinear wave equations with damping and source terms. Diff. Integr. Equ. 19(11), 1235–1270 (2006)
3. Alabau-Boussouira F., Cannarsa P., Sforza D.: Decay estimates for second order evolution equations with memory. J. Funct. Anal 254(5), 1342–1372 (2008)
4. Alves C.O., Cavalcanti M.M.: On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source. Calc. Var. Partial Diff. Equ. 34(3), 377–411 (2009)
5. Ball J.: Remarks on blow up and nonexistence theorems for nonlinear evolutions equations. Quart. J. Math. Oxford 28(2), 473–486 (1977)
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