The dissipative property of a cubic non-linear Schrödinger equation

DOI10.1070/IM2015v079n02ABEH002745zbMath1317.35240OpenAlexW2314882034MaRDI QIDQ5254311

Pavel I. Naumkin

Publication date: 9 June 2015

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2015v079n02abeh002745

zbMATH Keywords

Schrödinger equationlarge-time asymptoticscubic non-linearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Local dynamics of two-component parabolic systems of Schrödinger type ⋮ The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension ⋮ Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions ⋮ Regular and irregular solutions in the problem of dislocations in solids ⋮ On the derivative nonlinear Schrödinger equation with weakly dissipative structure ⋮ Dissipative property for higher order nonlinear Schrödinger equation

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