Global smoothing for the periodic Benjamin equation in low-regularity spaces
From MaRDI portal
Publication:2441144
DOI10.1007/s11425-013-4672-3zbMath1292.35269OpenAlexW2068199109MaRDI QIDQ2441144
Publication date: 21 March 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-013-4672-3
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness and I method for the fifth order Korteweg-de Vries equation
- Local well-posedness for the dispersion generalized periodic KdV equation
- The well-posedness of the Korteweg-de Vries-Benjamin-Ono equation
- Sharp well-posedness for the Benjamin equation
- Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
- Global well-posedness of the KP-I initial-value problem in the energy space
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Well-posedness of KdV with higher dispersion
- Low regularity solutions of two fifth-order KdV type equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Existence and stability of solitary wave solutions of the Benjamin equation
- \(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
- Periodic Korteweg-de Vries equation with measures as initial data
- On the Cauchy problem for the Zakharov system
- Global wellposedness for KdV below \(L^2\)
- On generalized Benjamin type equations
- Multilinear estimates for periodic KdV equations, and applications
- Well-posedness of the Cauchy problem for a shallow water equation on the circle
- Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations
- Bilinear estimates and applications to 2d NLS
- Global Smoothing for the Periodic KdV Evolution
- A Sharp Bilinear Estimate for the Bourgain-Type Space with Application to the Benjamin Equation
- On the regularization mechanism for the periodic Korteweg-de Vries equation
- Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
- A new kind of solitary wave
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- Quadratic forms for the 1-D semilinear Schrödinger equation
- Remark on the local ill-posedness for KdV equation
This page was built for publication: Global smoothing for the periodic Benjamin equation in low-regularity spaces