Large time asymptotics of solutions to the generalized Benjamin-Ono equation

DOI10.1090/S0002-9947-99-02285-0zbMath0903.35066OpenAlexW1841683519MaRDI QIDQ4216314

Nakao Hayashi, Pavel I. Naumkin

Publication date: 26 October 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02285-0

zbMATH Keywords

critical casenoncritical caseasymptotic behavior for large timeCauchy problem for the genealized Benjamin-Ono equation

Mathematics Subject Classification ID

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

Related Items (23)

Final state problem for Korteweg–de Vries type equations ⋮ Unnamed Item ⋮ On the inhomogeneous fourth-order nonlinear Schrödinger equation ⋮ Higher-order nonlinear Schrödinger equation in 2D case ⋮ Mixed initial-boundary value problem for the Benjamin-Ono equation ⋮ Modified scattering for the fractional mKdV equation ⋮ Intermediate long-wave equation on a half-line ⋮ Asymptotics of solutions for the fractional modified Korteweg-de Vries equation of order \(\alpha \in (2,3)\) ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Asymptotics of solutions to the generalized Ostrovsky equation ⋮ Modified scattering for the boson star equation ⋮ Nonlinear fractional Schrödinger equations in one dimension ⋮ Neumann initial-boundary value problem for Benjamin-Ono equation ⋮ Asymptotic properties of solutions to dispersive equation of Schrödinger type ⋮ Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations ⋮ Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case ⋮ Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line ⋮ Benjamin-Ono equation on a half-line ⋮ Asymptotic behavior of solutions to the short pulse equation with critical nonlinearity ⋮ Large time asymptotics of solutions to the generalized Korteweg-de Vries equation ⋮ Large time asymptotics for the reduced Ostrovsky equation ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations ⋮ Mixed initial-boundary value problem for intermediate long-wave equation

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