Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

DOI10.1063/1.5083078zbMath1428.35505OpenAlexW2975682598MaRDI QIDQ5235503

Nakao Hayashi, Liliana Esquivel, Elena I. Kaikina

Publication date: 11 October 2019

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

Full work available at URL: https://doi.org/10.1063/1.5083078

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Critical exponent for global existence of solutions to the Schrödinger equation with a nonlinear boundary condition ⋮ On the Benjamin-Ono equation in the half line ⋮ Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Klein-Gordon equation with critical nonlinearity and inhomogeneous Dirichlet boundary conditions.
• Initial-boundary value problem for the one dimensional Thirring model
• Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
• Cubic nonlinear Dirac equation in a quarter plane
• Smoothing effect for nonlinear Schrödinger equations in exterior domains
• The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
• Global existence of small radially symmetric solutions to quadratic nonlinear evolution equations in an exterior domain
• Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques
• Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
• The nonlinear Schrödinger equation on the half-line with Neumann boundary conditions
• Inhomogeneous Neumann initial-boundary value problem for the nonlinear Schrödinger equation
• The nonlinear Schrödinger equation on the half-line
• A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations
• Global solutions of the nonlinear schrödinger equation in exterior domains
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• Nonlinear Schrödinger evolution equations
• Solution of the forced nonlinear schrödinger (nls) equation using pde techniques
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• A new unified approach to study fractional PDE equations on a half-line
• Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation
• An inhomogeneous boundary value problem for nonlinear Schrödinger equations

This page was built for publication: Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques