The Cauchy problem for the stochastic generalized Benjamin-Ono equation
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Publication:829451
DOI10.1007/s11425-019-1620-yzbMath1462.35148OpenAlexW3009670157MaRDI QIDQ829451
Wei Yan, Jian Hua Huang, Bo-ling Guo
Publication date: 6 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-019-1620-y
A priori estimates in context of PDEs (35B45) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
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- Sharp ill-posedness results for the KdV and mKdV equations on the torus
- Well-posedness for stochastic Camassa-Holm equation
- Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
- Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces
- Local well-posedness in low regularity of the mKdV equation with periodic boundary condition
- Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)
- Global well-posedness in the energy space for the Benjamin-Ono equation on the circle
- Well-posedness for equations of Benjamin-Ono type
- Random modulation of solitons for the stochastic Korteweg-de Vries equation
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Sharp ill-posedness result for the periodic Benjamin-Ono equation
- Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
- 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
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- On the ill-posedness of some canonical dispersive equations.
- The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
- White noise driven Korteweg-de Vries equation
- Local well-posedness for dispersion-generalized Benjamin-Ono equations
- Well-posedness of the stochastic KdV-Burgers equation
- Global Well-Posedness for Schrödinger Equations with Derivative
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations
- On Unconditional Well-Posedness of Modified KdV
- A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations
- Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
- Global well-posedness in <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> for the periodic Benjamin-Ono equation
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)
- Global Well-Posedness of mKdV inL2(𝕋, ℝ)
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- Stochastic Equations in Infinite Dimensions