Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension

DOI10.1137/050626284zbMath1109.35106arXivmath/0603692OpenAlexW2084104439MaRDI QIDQ5470627

Nikolaos Tzirakis

Publication date: 31 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0603692

zbMATH Keywords

critical focusing NLSmass of ground statespherically symmetric blow-up 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 (6)

Rough blowup solutions to the \(L^2\) critical NLS ⋮ Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation ⋮ Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation ⋮ On mass concentration for the critical generalized Korteweg–de Vries equation ⋮ Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov-Kuznetsov equation ⋮ A smoothing property for the \(L^2\)-critical NLS equations and an application to blowup theory

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