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2008 Time decay of solution for the KdV equation with multiplicative space-time noise
Yoshio Tsutsumi
Differential Integral Equations 21(9-10): 959-970 (2008).

Abstract

We consider the asymptotic behavior in large time of solutions for the KdV equation with multiplicative space-time noise. Under certain assumptions on the noise, we prove that the $L^2$ norm of solutions almost surely decays to zero as time goes to infinity. This phenomena is called stabilization by noise.

Citation

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Yoshio Tsutsumi. "Time decay of solution for the KdV equation with multiplicative space-time noise." Differential Integral Equations 21 (9-10) 959 - 970, 2008.

Information

Published: 2008
First available in Project Euclid: 20 December 2012

zbMATH: 1224.35376
MathSciNet: MR2483343

Subjects:
Primary: 35Q53
Secondary: 35B40, 35R60, 60H15

Rights: Copyright © 2008 Khayyam Publishing, Inc.

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Vol.21 • No. 9-10 • 2008
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