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Asymptotic behaviour in time of KdV type equations with time dependent coefficients |
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| Authors: | V. BisogninG. Perla Menzala |
| Affiliation: | Federal University of Santa Maria, Department of Mathematics Santa Maria, RS, 97015-631, Brazil National Laboratory of Scientific Computation Rua Lauro Müller 455, Botafogo, RJ, 22290-160, Brazil |
| Abstract: | We study the asymptotic behaviour in time of the solutions of a class of evolution equations whose simplest representative would be the Korteweg de Vries equation with variable coefficients. Specific rates of decay are given in either the “conservative” or the dissipative case. |
| Keywords: | Decay rates Pseudo-differential operators Energy method |
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