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Complexity of large time behaviour of evolution equations with bounded data

Vázquez, Juan Luis and Zuazua Iriondo, Enrique (2002) Complexity of large time behaviour of evolution equations with bounded data. Chinese Annals of Mathematics, 23 (2). 293-310 . ISSN 0252-9599

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Abstract

The authors study the asymptotic behaviour of solutions of the heat equation and a number of evolution equations using scaling techniques. It is proved that in the framework of bounded data stabilization need not occur and the general asymptotic behaviour is complex. This behaviour reflects for large times, even on compact sets, the complexity of the initial data at infinity.

Item Type:Article
Uncontrolled Keywords:Asymptotic behaviour; Scaling; Omega-limit; Heat equation; Hyperbolic conservation laws
Subjects:Sciences > Mathematics > Differential equations
ID Code:12298
Deposited On:01 Mar 2011 09:35
Last Modified:06 Jun 2011 09:32

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