ON THE GLOBAL EXISTENCE OF ROUGH SOLUTIONS OF THE CUBIC DEFOCUSING SCHRÖDINGER EQUATION IN R2 + 1

DOI10.1142/S0219891607001161zbMath1122.35132WikidataQ115245265 ScholiaQ115245265MaRDI QIDQ3447032

Yung-Fu Fang, Manoussos G. Grillakis

Publication date: 28 June 2007

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

zbMATH Keywords

conservation lawsStrichartz estimatesI-methodcorrelation estimates

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) First-order hyperbolic systems (35L40)

Related Items (10)

Global existence of solutions to Schrödinger equations on compact riemannian manifolds below $H^1$ ⋮ Global well-posedness for the cubic fractional NLS on the unit disk ⋮ Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations ⋮ On the radius of spatial analyticity for cubic nonlinear Schrödinger equations ⋮ Global well-posedness for a \(L^2\)-critical nonlinear higher-order Schrödinger equation ⋮ Global analysis for rough solutions to the Davey-Stewartson system ⋮ Global Well-Posedness and Polynomial Bounds for the DefocusingL²-Critical Nonlinear Schrödinger Equation in ℝ ⋮ On the high–low method for NLS on the hyperbolic space ⋮ Mixed Norm Estimates of Schrödinger Waves and Their Applications ⋮ On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations

Cites Work

• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Decay and scattering of solutions of a nonlinear Schrödinger equation
• Bilinear estimates and applications to 2d NLS
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• Unnamed Item

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