Inhomogeneous initial-boundary value problem for the 2D nonlinear Schrödinger equation

DOI10.1063/1.5043630zbMath1394.35478OpenAlexW2809852500MaRDI QIDQ4575937

Elena I. Kaikina

Publication date: 16 July 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5043630

zbMATH Keywords

existenceasymptotic behaviorRiemann-Hilbert approachnonlinear multidimensional Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Riemann-Hilbert problems in context of PDEs (35Q15) Integral equations with kernels of Cauchy type (45E05) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (7)

Stochastic nonlinear Schrödinger equation on an upper-right quarter plane with Dirichlet random boundary ⋮ Multidimensional inhomogeneous mixed initial-boundary value problem for the nonlinear Schrödinger equation ⋮ Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane ⋮ Neumann inhomogeneous initial-boundary value problem for the \(2D\) nonlinear Schrödinger equation ⋮ Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space ⋮ Stochastic Schrödinger equation with Dirichlet noise boundary conditions ⋮ INHOMOGENEOUS DIRICHLET-BOUNDARY VALUE PROBLEM FOR TWO-DIMENSIONAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATIONS

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