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Global existence of solutions to nonlinear dispersive wave equations.

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Publication:454551
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zbMath1265.35331MaRDI QIDQ454551

Nakao Hayashi, Pavel I. Naumkin, Seishirou Kobayashi

Publication date: 8 October 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Fourier transformsmall initial dataasymptotic decaysemilinear dispersive wave equation


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for second-order hyperbolic equations (35L15)


Related Items (4)

Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\) ⋮ Modified scattering for the fractional nonlinear Schrödinger equation with \(\alpha \in (\frac{3}{2},2)\) ⋮ Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations ⋮ Nonlinear dispersive wave equations in two space dimensions




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