On global solutions to the initial–boundary value problem for the nonlinear Schrödinger equations in exterior domains
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Publication:3978005
DOI10.1080/03605309108820784zbMath0738.35093OpenAlexW2060247999MaRDI QIDQ3978005
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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
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
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- 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
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