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
Official URL: http://www.springer.com/mathematics/journal/11401
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.
|Uncontrolled Keywords:||Asymptotic behaviour; Scaling; Omega-limit; Heat equation; Hyperbolic conservation laws|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||01 Mar 2011 09:35|
|Last Modified:||06 Jun 2011 09:32|
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