Forced cubic Schrödinger equation with Robin boundary data: large-time asymptotics

DOI10.1098/RSPA.2013.0341zbMath1348.35235OpenAlexW2045238769WikidataQ51143735 ScholiaQ51143735MaRDI QIDQ2831292

Elena I. Kaikina

Publication date: 2 November 2016

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2013.0341

zbMATH Keywords

large-time asymptoticscubic nonlinear Schrödinger equationinhomogeneous initial-boundary-value problem

Mathematics Subject Classification ID

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

Related Items (9)

Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane ⋮ Mixed initial-boundary value problem for the capillary wave equation ⋮ Stochastic nonlinear Schrödinger equation with Brown-noise boundary conditions of mixed type ⋮ Robin initial-boundary value problem for nonlinear Schrödinger equation with potential ⋮ Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates ⋮ Multidimensional inhomogeneous mixed initial-boundary value problem for the nonlinear Schrödinger equation ⋮ Neumann inhomogeneous initial-boundary value problem for the \(2D\) nonlinear Schrödinger equation ⋮ Modified scattering for the mixed initial-boundary problem for the nonlinear Klein–Gordon equation ⋮ Stochastic Landau–Ginzburg equation with white-noise boundary conditions of Robin type

Cites Work

• Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
• Long range scattering for nonlinear Schrödinger equations in one space dimension
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Modified wave operators for the derivative nonlinear Schrödinger equation
• An initial-boundary value problem for the nonlinear Schrödinger equation
• Integrable nonlinear evolution equations on the half-line
• The forced non-linear Schrödinger equation with a potential on the half-line
• An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
• On weli-posedness of the forced nonlinear schrödinger equation
• On the Nonlinear Schrödinger Equation on the Half Line with Homogeneous Robin Boundary Conditions
• Forced cubic Schrödinger equation with Robin boundary data: continuous dependency result
• An inhomogeneous boundary value problem for nonlinear Schrödinger equations

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