On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class

DOI10.1137/060663969zbMath1135.35079arXivmath/0606737OpenAlexW2591754299MaRDI QIDQ5444263

Publication date: 25 February 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606737

zbMATH Keywords

nonlinear Schrödinger equation $I$-method blowup solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Rough blowup solutions to the $L^2$ critical NLS ⋮ Blow-up for the focusing $\dot H^{1/2}$-critical Hartree equation with radial data ⋮ On Mass Concentration for theL²-Critical Nonlinear Schrödinger Equations ⋮ Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation ⋮ Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation ⋮ Low regularity blowup solutions for the mass-critical NLS in higher dimensions ⋮ A smoothing property for the $L^2$-critical NLS equations and an application to blowup theory

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