SCATTERING THEORY FOR ZAKHAROV EQUATIONS IN THREE-DIMENSIONAL SPACE WITH LARGE DATA
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Publication:4675798
DOI10.1142/S0219199704001574zbMath1203.35183MaRDI QIDQ4675798
Publication date: 6 May 2005
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (7)
Randomized final-state problem for the Zakharov system in dimension three ⋮ Scattering for the Zakharov system in 3 dimensions ⋮ Global dynamics below the ground state energy for the Zakharov system in the 3D radial case ⋮ Generalized Strichartz estimates and scattering for 3D Zakharov system ⋮ The fourth-order nonlinear Schrödinger limit for quantum Zakharov system ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity
Cites Work
- Nonlinear small data scattering for the wave and Klein-Gordon equation
- Scattering for semilinear wave equations with small data in three space dimensions
- On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
- Nonlinear small data scattering for the wave equation in \(\mathbb{R}^{4+1}\)
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- On small data scattering for 2-dimensional semilinear wave equations
- Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions
- Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
- On the asymptotic behavior of solutions of semi-linear wave equations
- Decay and scattering of solutions of a nonlinear Schrödinger equation
- On coupled Klein-Gordon-Schrödinger equations. II
- Modified wave operators for the derivative nonlinear Schrödinger equation
- Long range scattering and modified wave operators for the wave-Schrödinger system
- Modified wave operators for Maxwell-Schrödinger equations in three space dimensions
- Modified wave operators for the coupled wave-Schrödinger equations in three space dimensions
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- Asymptotically-Free Solutions for the Short-Range Nonlinear Schrödinger Equation
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- Wave Operators for the Coupled Klein-Gordon-Schrödinger Equations in Two Space Dimensions
- Global existence for nonlinear wave equations
- WAVE OPERATORS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH A NONLINEARITY OF LOW DEGREE IN ONE OR TWO SPACE DIMENSIONS
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