Dispersion and controllability for the Schrödinger equation on negatively curved manifolds
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Publication:1951726
DOI10.2140/apde.2012.5.313zbMath1267.35176arXiv1007.4343OpenAlexW2073716962MaRDI QIDQ1951726
Gabriel Rivière, Nalini Anantharaman
Publication date: 24 May 2013
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.4343
Elliptic equations on manifolds, general theory (58J05) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs in connection with control and optimization (35Q93)
Related Items (13)
\(L^{p}\) norms, nodal sets, and quantum ergodicity ⋮ PERTURBATION OF THE SEMICLASSICAL SCHRÖDINGER EQUATION ON NEGATIVELY CURVED SURFACES ⋮ Internal control of the Schrödinger equation ⋮ Wigner measures and effective mass theorems ⋮ Quantum ergodicity for a class of mixed systems ⋮ Observability and quantum limits for the Schrödinger equation on 𝕊^{𝕕} ⋮ Averaged controllability for random evolution Partial Differential Equations ⋮ Long-time dynamics of the perturbed Schrödinger equation on negatively curved surfaces ⋮ High-Frequency Dynamics for the Schrödinger Equation, with Applications to Dispersion and Observability ⋮ Wigner measures and observability for the Schrödinger equation on the disk ⋮ Defect measures on graded Lie groups ⋮ Observable sets, potentials and Schrödinger equations ⋮ Control of eigenfunctions on surfaces of variable curvature
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