The Schrödinger equation on spheres.

DOI10.2140/pjm.2003.209.145zbMath1052.58024OpenAlexW2037971736MaRDI QIDQ1880035

Michael E. Taylor

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.209.145

zbMATH Keywords

\(L^p\)-Sobolev mapping propertiesSchrödinger equation on Riemannian manifolds

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Elliptic equations on manifolds, general theory (58J05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (13)

Smoothness of the fundamental solution of Schrödinger equations with mild trapping ⋮ Riemann's non-differentiable function and the binormal curvature flow ⋮ A sharp regularity estimate for the Schrödinger propagator on the sphere ⋮ Gauss sums, superoscillations and the Talbot carpet ⋮ Evolution of polygonal lines by the binormal flow ⋮ Numerical simulation of nonlinear dispersive quantization ⋮ Talbot effect on the sphere and torus for \(d \geq 2\) ⋮ On smoothing estimates for Schrödinger equations on product spaces \(\mathbb{T}^m \times \mathbb{R}^n\) ⋮ Fractal solutions of dispersive partial differential equations on the torus ⋮ The Talbot effect as the fundamental solution to the free Schrödinger equation ⋮ Sharp Strichartz estimates for the Schrödinger equation on the sphere ⋮ Fractal solutions of linear and nonlinear dispersive partial differential equations ⋮ Dispersive quantization and fractalization for multi-component dispersive equations

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