Nonexistence of global solutions of the Cauchy problem for systems of klein–Gordon equations with positive initial energy
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1134/S0012266115120034.pdf
Reference12 articles.
1. Levine, H.A., Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations, SIAM J. Math. Anal., 1974, vol. 5, pp. 138–146.
2. Levine, H.A and Serrin, J., Global Nonexistence Theorems for Quasilinear Evolution Equation with Dissipation, Arch. Ration Mech. Anal., 1997, vol. 137, pp. 341–361.
3. Pucci, P. and Serrin, J., Global Nonexistence for Abstract Evolution Equation with Positive Initial Energy, J. Differential Equations, 1998, vol. 150, pp. 203–214.
4. Levine, H.A. and Todorova, G., Blow up of Solutions of the Cauchy Problem for a Wave Equation with Nonlinear Damping and Source Terms and Positive Initial Energy, Proc. Amer. Math. Soc., 2001, vol. 129, pp. 793–805.
5. Todorova, G. and Vitillaro, E., Blow-up for Nonlinear Dissipative Wave Equations, J. Math. Anal. Appl., 2005, vol. 303, pp. 242–257.
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