Wellposedness for Zakharov systems with generalized nonlinearity

DOI10.1006/jdeq.1998.3445zbMath0921.35162OpenAlexW2023655837MaRDI QIDQ1270018

James E. Colliander

Publication date: 29 September 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7543557634c5e5358365f51f853d462312b08d4c

zbMATH Keywords

Cauchy problemHartree equationlong range scatteringlocally well-posed

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (12)

Conservative difference scheme for fractional Zakharov system and convergence analysis ⋮ Conservative compact difference scheme for the Zakharov–Rubenchik equations ⋮ Multisymplectic numerical method for the Zakharov system ⋮ Comparison of numerical methods for the Zakharov system in the subsonic limit regime ⋮ Numerical methods for the generalized Zakharov system. ⋮ A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime ⋮ An initial boundary value problem for the Zakharov equation ⋮ On the convergence of a high-accuracy conservative scheme for the Zakharov equations ⋮ A conservative compact difference scheme for the Zakharov equations in one space dimension ⋮ Uniform convergence of the legendre spectral method for the Zakharov equations ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ Global well-posedness for the Klein-Gordon-Schrödinger system with higher order coupling

Cites Work

• On the Cauchy problem for the Zakharov system
• Nonlinear Schrödinger evolution equations
• On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations
• Quadratic forms for the 1-D semilinear Schrödinger equation
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• Unnamed Item

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