Global existence of solutions for nonlinear schrödinger equations in one space dimension

DOI10.1080/03605309408821079zbMath0832.35130OpenAlexW2086458137MaRDI QIDQ4313774

Yoshio Tsutsumi, Soichiro Katayama

Publication date: 7 March 1996

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

Full work available at URL: https://doi.org/10.1080/03605309408821079

zbMATH Keywords

local existenceglobal existencegauge invariancenonlinear Schrödinger equationsnull gauge condition

Mathematics Subject Classification ID

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 (15)

Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity ⋮ Unnamed Item ⋮ The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension ⋮ Global existence of small solutions to semilinear Schrödinger equations with gauge invariance ⋮ Remarks on global behavior of solutions to nonlinear Schrödinger equations ⋮ A quadratic nonlinear Schrödinger equation in one space dimension ⋮ Global extstence of small solutions to semiliner schrödinger equations ⋮ Asymptotic behavior for a class of derivative nonlinear Schrödinger systems ⋮ Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations ⋮ Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations ⋮ Null structure in a system of quadratic derivative nonlinear Schrödinger equations ⋮ Global existence of solutions for a subcritical nonlinear Schrödinger equation ⋮ Asymptotics of odd solutions for cubic nonlinear Schrödinger equations ⋮ SUBCRITICAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATION ⋮ The initial value problem for cubic semilinear Schrödinger equations

Cites Work

• Small solutions to nonlinear Schrödinger equations
• Global existence of small solutions to nonlinear evolution equations
• Remarks on nonlinear Schrödinger equations in one space dimension
• Global solutions of nonlinear hyperbolic equations for small initial data
• Global, small amplitude solutions to nonlinear evolution equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

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