Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane

DOI10.1137/17M1119743zbMath1392.35292arXiv1609.05418OpenAlexW2963447951MaRDI QIDQ4563968

Yu Ran, Bing-Yu Zhang, Shu Ming Sun

Publication date: 5 June 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05418

zbMATH Keywords

boundary value problemshalf planeNLS equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Stochastic nonlinear Schrödinger equation on half-line with boundary noise ⋮ Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications ⋮ Low regularity well-posedness for dispersive equations on semi-infinite intervals ⋮ Well-posedness of the nonlinear Schrödinger equation on the half-plane ⋮ Stochastic nonlinear Schrödinger equation on an upper-right quarter plane with Dirichlet random boundary ⋮ Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane ⋮ Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space ⋮ An initial-boundary-value problem of 2D nonlinear Schrödinger equation in a strip ⋮ INHOMOGENEOUS DIRICHLET-BOUNDARY VALUE PROBLEM FOR TWO-DIMENSIONAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATIONS ⋮ The Neumann and Robin problems for the Korteweg–de Vries equation on the half-line

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