Quadratic nonlinear derivative Schrodinger equations. Part I

DOI10.1155/IMRP/2006/70630zbMath1123.35060MaRDI QIDQ3428091

Ioan Bejenaru

Publication date: 27 March 2007

Published in: International Mathematics Research Papers (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceswell-posednessinitial value problemsmall initial dataquadratic nonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (11)

Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity ⋮ Small data well-posedness for derivative nonlinear Schrödinger equations ⋮ Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data ⋮ Quasilinear Schrödinger equations. I: Small data and quadratic interactions ⋮ Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation ⋮ Quadratic nonlinear derivative Schrödinger equations - Part 2 ⋮ Large data local solutions for the derivative NLS equation ⋮ Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\) ⋮ Quasilinear Schrödinger equations. III: Large data and short time. ⋮ A remark on the well-posedness for a system of quadratic derivative nonlinear Schrödinger equations

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