SHARP ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR SCHRÖDINGER EQUATIONS WITH REPULSIVE INTERACTIONS

DOI10.1142/S0219199705001696zbMath1068.35157MaRDI QIDQ3023926

Naoyasu Kita, Tohru Ozawa

Publication date: 6 July 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemlarge time behavior of scattering solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case ⋮ Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

Cites Work

• Theory of function spaces
• Existence of solutions for Schrödinger evolution equations
• Nonlinear scattering theory at low energy
• On the initial value problem for a nonlinear Schrödinger equation
• Rapidly decaying solutions of the nonlinear Schrödinger equation
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Remarks on scattering for nonlinear Schrödinger equations
• Sharp \(L^r\) asymptotics of the small solutions to the nonlinear Schrödinger equations

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