Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

DOI10.1007/s42985-021-00120-9zbMath1476.35198OpenAlexW3210567119WikidataQ115369798 ScholiaQ115369798MaRDI QIDQ2063938

Nakao Hayashi, Takayoshi Ogawa, Elena I. Kaikina

Publication date: 3 January 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00120-9

zbMATH Keywords

nonlinear Schrödinger equationlarge time asymptoticsinhomogeneous Dirichlet-boundary value problemupper half-line

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35)

Related Items (1)

The interior-boundary Strichartz estimate for the Schrödinger equation on the half-line revisited

Cites Work

• 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
• On the non-homogeneous boundary value problem for Schrödinger equations
• Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates
• On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence
• Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogeneous Dirichlet boundary control
• 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.
• Rapidly decaying solutions of the nonlinear Schrödinger equation
• 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
• Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space.
• 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 Neumann initial-boundary value problem for the nonlinear Schrödinger equation
• Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications
• 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
• An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
• Nonlinear Schrödinger evolution equations
• Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane
• Inhomogeneous initial-boundary value problem for the 2D nonlinear Schrödinger equation
• A new unified approach to study fractional PDE equations on a half-line
• Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques
• 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 Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space