The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data.

zbMath1212.35427arXivmath/0501408MaRDI QIDQ976574

Hartmut Pecher

Publication date: 15 June 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501408

zbMATH Keywords

I-method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Rough solutions for the periodic Schrödinger--Korteweg--de Vries system ⋮ Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass ⋮ The Cauchy problem for nonlinear quadratic interactions of the Schrödinger type in one dimensional space ⋮ Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems ⋮ The well posedness of the dissipative Korteweg-de Vries equations with low regularity data ⋮ Global rough solutions to the critical generalized KdV equation ⋮ Global well-posedness for the Benjamin equation in low regularity ⋮ The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line ⋮ On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System

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