Large time asymptotics for the fourth-order nonlinear Schrödinger equation

DOI10.1016/j.jde.2014.10.007zbMath1303.35100OpenAlexW2043290920MaRDI QIDQ473069

Pavel I. Naumkin, Nakao Hayashi

Publication date: 21 November 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.10.007

zbMATH Keywords

large time asymptoticsfourth-order nonlinear Schrödinger equation

Mathematics Subject Classification ID

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

Related Items (14)

Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion ⋮ Asymptotics for the fourth-order nonlinear Schrödinger equation in 2D ⋮ Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries ⋮ Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm ⋮ Factorization technique for the fourth-order nonlinear Schrödinger equation ⋮ Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane ⋮ Scattering operator for the fourth order nonlinear Schrödinger equation ⋮ Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case ⋮ Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case ⋮ Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line ⋮ Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity ⋮ Global solution for a sixth-order nonlinear Schrödinger equation ⋮ Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity

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