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| COMPLEXITY OF LARGE TIME BEHAVIOUR OF EVOLUTION EQUATIONS WITH BOUNDED DATA |
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Citation： |
J. L. V AZQUEZ,E. ZUAZUA.COMPLEXITY OF LARGE TIME BEHAVIOUR OF EVOLUTION EQUATIONS WITH BOUNDED DATA[J].Chinese Annals of Mathematics B,2002,23(2):293~310 |
| Page view： 1327
Net amount： 828 |
Authors： |
J. L. V AZQUEZ; E. ZUAZUA |
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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. |
Keywords： |
Asymptotic behaviour, Scaling, Omega-limit, Heat equation, Hyperbolic conservation laws |
Classification： |
35B40, 35K60, 35K65 |
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