Nonexistence of scattering states for some quadratic nonlinear Schrödinger equations in two space dimensions.
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Publication:601595
zbMath1212.35021MaRDI QIDQ601595
Yoshio Tsutsumi, Akihiro Shimomura
Publication date: 28 October 2010
Published in: Differential and Integral Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (12)
Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity ⋮ Global solutions for 2D quadratic Schrödinger equations ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Remark on the global existence and large time asymptotics of solutions for the quadratic NLS ⋮ On the Cauchy problem of the nonlinear Schrödinger equation without gauge invariance ⋮ Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations ⋮ Some non-existence results for the semilinear Schrödinger equation without gauge invariance ⋮ Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance ⋮ Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions ⋮ Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities ⋮ Lifespan of Solutions to Nonlinear Schrödinger Equations with General Homogeneous Nonlinearity of the Critical Order ⋮ Final state problem for a system of nonlinear Schrödinger equations with three wave interaction
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