On global solutions to the initial–boundary value problem for the nonlinear Schrödinger equations in exterior domains

DOI10.1080/03605309108820784zbMath0738.35093OpenAlexW2060247999MaRDI QIDQ3978005

No author found.

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820784

zbMATH Keywords

global existencenonlinear Schrödinger equationssmooth small solutionspseudo-conformal identity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (16)

On nonlinear Schrödinger equations in exterior domains ⋮ Regularity properties of the cubic nonlinear Schrödinger equation on the half line ⋮ Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane ⋮ Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations ⋮ Finite-time behaviour of solutions to nonlinear Schrödinger evolution equations ⋮ Decay of local energy for solutions of the free Schrödinger equation in exterior domains ⋮ Well-posedness of the nonlinear Schrödinger equation on the half-plane ⋮ On an initial-boundary value problem for a class of nonlinear schrödinger equations ⋮ A note on the nonlinear Schrödinger equation in a general domain ⋮ An inhomogeneous boundary value problem for nonlinear Schrödinger equations ⋮ On the nonlinear regularized Schrödinger equation in exterior domains ⋮ On the solvability of initial boundary value problems for nonlinear time-dependent Schrödinger equations ⋮ An initial-boundary-value problem of 2D nonlinear Schrödinger equation in a strip ⋮ Inhomogeneous boundary value problem for Hartree-type equation ⋮ Nonlinear fractional Schrödinger equation on the half-line ⋮ Nonlinear Schrödinger Equation with Inhomogeneous Dirichlet Boundary Data

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• Smoothing effect for nonlinear Schrödinger equations in exterior domains
• Classical solutions of nonlinear Schrödinger equations
• On solutions on the initial value problem for the nonlinear Schrödinger equations
• Classical solutions of nonlinear Schrödinger equations in higher dimensions
• Nonlinear scattering theory at low energy
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Decay and asymptotics for \(\square u = F(u)\)
• Non-linear semi-groups
• Global solutions of the nonlinear schrödinger equation in exterior domains
• On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions
• L∞C(ℝⁿ)-decay of classical solutions for nonlinear Schrödinger equations
• Nonlinear Schrödinger evolution equations
• Global, small amplitude solutions to nonlinear evolution equations

This page was built for publication: On global solutions to the initial–boundary value problem for the nonlinear Schrödinger equations in exterior domains