Differential and Integral Equations

Time decay of solution for the KdV equation with multiplicative space-time noise

Yoshio Tsutsumi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Differential Integral Equations, Volume 21, Number 9-10 (2008), 959-970.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356038594

Mathematical Reviews number (MathSciNet)
MR2483343

Zentralblatt MATH identifier
1224.35376

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] 60H15: Stochastic partial differential equations [See also 35R60]

Citation

Tsutsumi, Yoshio. Time decay of solution for the KdV equation with multiplicative space-time noise. Differential Integral Equations 21 (2008), no. 9-10, 959--970. https://projecteuclid.org/euclid.die/1356038594


Export citation