The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1
From MaRDI portal
Publication:5708890
DOI10.1088/0305-4470/38/39/006zbMath1084.35081OpenAlexW2020349176MaRDI QIDQ5708890
Riccardo Adami, Andrea Sacchetti
Publication date: 21 November 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/38/39/006
Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (12)
Scattering for NLS with a delta potential ⋮ Singular Hartree equation in fractional perturbed Sobolev spaces ⋮ Tunnel effect and analysis of the survival amplitude in the nonlinear Winter's model ⋮ Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ Nonlinear Schrödinger equation with a Dirac delta potential: finite difference method ⋮ Spectral splitting method for nonlinear Schrödinger equations with singular potential ⋮ On the Cauchy Problem and the Black Solitons of a Singularly Perturbed Gross--Pitaevskii Equation ⋮ Stationary states for non linear one-dimensional Schrödinger equations with singular potential ⋮ Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results ⋮ The Nonlinear Schrödinger Equation for the Delta-Comb Potential: Quasi-Classical Chaos and Bifurcations of Periodic Stationary Solutions ⋮ Dispersion for the 1-D Schrödinger equation with several Dirac potentials
This page was built for publication: The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1