The goal of this paper is to study the long time behavior of the energy of solutions to 2 by 2 linear hyperbolic systems. Some blow-up results at t=∞ are given for a large class of initial data of the Cauchy problem. We shall prove the optimality of these results for a special class of systems. We present also an example of generalized energy conservation under a Cm stabilization condition. © 2011 Elsevier Inc.
Blow-up of the energy at infinity for 2 by 2 systems
D'ABBICCO, MARCELLO;
2012-01-01
Abstract
The goal of this paper is to study the long time behavior of the energy of solutions to 2 by 2 linear hyperbolic systems. Some blow-up results at t=∞ are given for a large class of initial data of the Cauchy problem. We shall prove the optimality of these results for a special class of systems. We present also an example of generalized energy conservation under a Cm stabilization condition. © 2011 Elsevier Inc.File in questo prodotto:
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