Well-posedness and ill-posedness results for dissipative Benjamin-Ono equations
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Publication:663528
zbMath1232.35148arXiv0802.1039MaRDI QIDQ663528
Publication date: 17 February 2012
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.1039
KdV equations (Korteweg-de Vries equations) (35Q53) Ill-posed problems for PDEs (35R25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (5)
Sharp well-posedness for the Chen-Lee equation ⋮ Uniform local well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation ⋮ Global well-posedness and inviscid limit for the generalized Benjamin–Ono–Burgers equation
Cites Work
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- Sharp well-posedness results for the generalized Benjamin-Ono equation with high nonlinearity.
- On the global well-posedness of the Benjamin-Ono equation
- Well-posedness of the generalized Benjamin-Ono-Burgers equations in Sobolev spaces of negative order
- Bilinear estimates with applications to the generalized Benjamin-Ono-Burgers equations.
- The Benjamin-Ono-Burgers equation: An application in solar physics
- Sur quelques généralisations de l'équation de Korteweg-de Vries
- Temporal asymptotic behaviour of solutions of the Benjamin-Ono-Burgers equation
- Periodic Korteweg-de Vries equation with measures as initial data
- The initial-value problem for the generalized Burger's equation
- Well-posedness results for the generalized Benjamin-Ono equation with small initial data.
- Local Lipschitz continuity of a nonlinear bounded operator induced by a generalized Benjamin-Ono-Burgers equation
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations
- Algebraic Solitary Waves in Stratified Fluids
- 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
- On the cauchy problem for the benjamin-ono equation
- GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)
- Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
- Internal waves of permanent form in fluids of great depth
- Global solutions and their asymptotic behavior for Benjamin-Ono-Burgers type equations
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