Well-posedness of stochastic KdV-BO equation driven by fractional Brownian motion

DOI10.1016/j.amc.2014.05.114zbMath1335.60103OpenAlexW2072568416MaRDI QIDQ279993

Guolian Wang, Baojun Bian

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.114

zbMATH Keywords

fractional Brownian motionHurst parameterFourier restriction normKorteweg-de Vries Benjamin-Ono equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (1)

The local well-posedness for a stochastic system of nonlinear dispersive equations

Cites Work

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• The well-posedness of the Korteweg-de Vries-Benjamin-Ono equation
• On the stochastic Benjamin--Ono equation
• Stochastic heat equation driven by fractional noise and local time
• Stochastic Burgers' equation driven by fractional Brownian motion
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the stochastic Korteweg-de Vries equation
• A parabolic stochastic differential equation with fractional Brownian motion input
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• Stochastic evolution equations with fractional Brownian motion
• White noise driven Korteweg-de Vries equation
• Well-posedness of stochastic Korteweg-de Vries-Benjamin-Ono equation
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• FRACTIONAL BROWNIAN MOTION AND STOCHASTIC EQUATIONS IN HILBERT SPACES
• The stochastic, damped KdV equation
• A new kind of solitary wave
• Hyperbolic Stochastic Partial Differential Equations with Additive Fractional Brownian Sheet
• THE STOCHASTIC WAVE EQUATION DRIVEN BY FRACTIONAL BROWNIAN NOISE AND TEMPORALLY CORRELATED SMOOTH NOISE
• A bilinear estimate with applications to the KdV equation
• STOCHASTIC INTEGRATION FOR FRACTIONAL BROWNIAN MOTION IN A HILBERT SPACE
• Stochastic calculus with respect to Gaussian processes
• Heat equations with fractional white noise potentials
• Stochastic Equations in Infinite Dimensions

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