Low regularity for LS type equations on the half line
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Publication:6601136
DOI10.1007/s40840-024-01728-xzbMath1547.35146MaRDI QIDQ6601136
Chun Xiao Guo, Yan-feng Guo, Yu-Zhu Wang, Mengtao Xu
Publication date: 10 September 2024
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
initial-boundary value problemlocal well-posednessbilinear estimatesFourier restriction normlong wave-short wave equations
Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)
Cites Work
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- Coupled fixed point theorems for single-valued operators in \(b\)-metric spaces
- Regularity properties of the cubic nonlinear Schrödinger equation on the half line
- Rough solutions of a Schrödinger-Benjamin-Ono system.
- The existence of a global attractor for the \((2+1)\)-dimensional long wave-short wave resonance interaction equation
- The Cauchy problem of the Schrödinger-Korteweg-de Vries system.
- Sharp bilinear estimates and well posedness for the 1-D Schrödinger-Debye system.
- Cauchy problem for the Ostrovsky equation in spaces of low regularity
- On the periodic Schrödinger-Deybe equation
- The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
- Well-posedness for the fifth-order shallow water equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Interaction equations for short and long dispersive waves
- Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
- Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices
- Global well-posedness for the Kawahara equation with low regularity
- Well-posedness of the initial-boundary value problem for the Hirota equation on the half line
- Well-posedness and nonlinear smoothing for the ``good Boussinesq equation on the half-line
- Cauchy problem for the Zakharov system arising from hot plasma with low regularity data
- The Cauchy problem for the fifth order shallow water equation
- Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Local and global well-posedness for the critical Schrödinger-Debye system
- Solution of the forced nonlinear schrödinger (nls) equation using pde techniques
- On two-dimensional packets of capillary-gravity waves
- Well-posedness of the cauchy problem for the long wave-short wave resonance equations
- Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions
- Regularity properties of the Zakharov system on the half line
- A bilinear estimate with applications to the KdV equation
- Quadratic forms for the 1-D semilinear Schrödinger equation
- ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING
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