Global Well-Posedness and Polynomial Bounds for the DefocusingL2-Critical Nonlinear Schrödinger Equation in ℝ

DOI10.1080/03605300701588839zbMath1155.35310arXivmath/0702707OpenAlexW2035148622MaRDI QIDQ3532803

Daniela De Silva, Gigliola Staffilani, Nataša Pavlović, Nikolaos Tzirakis

Publication date: 28 October 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702707

zbMATH Keywords

Schrödinger equationglobal well-posednessMorawetz estimates

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

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 ⋮ Global well-posedness for the fifth-order mKdV equation ⋮ Global well-posedness for the mass-critical nonlinear Schrödinger equation on \(\mathbb T\) ⋮ On the high–low method for NLS on the hyperbolic space ⋮ Global well-posedness and scattering for the defocusing \(H^{\frac 1 2}\)-subcritical Hartree equation in \(\mathbb R^d\) ⋮ Correction to “Global Well-Posedness and Polynomial Bounds for the DefocusingL²-Critical Nonlinear Schrödinger Equation in ℝ” ⋮ Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$

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