A smoothing property for the \(L^2\)-critical NLS equations and an application to blowup theory
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Publication:1030135
DOI10.1016/j.anihpc.2008.03.001zbMath1178.35313OpenAlexW2071158234MaRDI QIDQ1030135
Publication date: 1 July 2009
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/78865
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (14)
The derivative nonlinear Schrödinger equation on the half line ⋮ Regularity properties of the cubic biharmonic Schrödinger equation on the half line ⋮ Regularity properties of the cubic nonlinear Schrödinger equation on the half line ⋮ Nonlinear smoothing for dispersive PDE: a unified approach ⋮ Probabilistic local wellposedness of 1D quintic NLS below \(L^2(\mathbb{R})\) ⋮ On Hartree equations with derivatives ⋮ Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces ⋮ Smoothing property for the \( L^2 \)-critical high-order NLS. II ⋮ The Schrödinger equation with spatial white noise potential ⋮ Mixed Norm Estimates of Schrödinger Waves and Their Applications ⋮ A compactness result for inhomogeneous nonlinear Schrödinger equations ⋮ Smoothing for the fractional Schroedinger equation on the torus and the real line ⋮ Fractal solutions of linear and nonlinear dispersive partial differential equations ⋮ Nonlinear smoothing for the periodic generalized nonlinear Schrödinger equation
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