On global existence for the Schrödinger-IB system
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Publication:939408
DOI10.1016/J.NA.2007.05.034zbMath1168.35436OpenAlexW2015785510MaRDI QIDQ939408
Publication date: 22 August 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.05.034
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (3)
Schrödinger-improved Boussinesq system in two space dimensions ⋮ Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions ⋮ Well-posedness and orbital stability of traveling waves for the Schrödinger-improved Boussinesq system
Cites Work
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- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- On the Cauchy problem for the Zakharov system
- The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
- Small amplitude solutions of the generalized IMBq equation.
- Global existence on nonlinear Schrödinger-IMBq equations
- Cauchy problem for the nonlinear Schrödinger-IMBq equations
- On Schrödinger-Boussinesq equations
- Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems
- Endpoint Strichartz estimates
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