Uniqueness of solutions to Schrödinger equations on 2-step nilpotent Lie groups

DOI10.1090/S0002-9939-2014-12453-1zbMath1304.43005arXiv1207.4652WikidataQ115289237 ScholiaQ115289237MaRDI QIDQ5418526

Jean Ludwig, Detlef Müller

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4652

zbMATH Keywords

uniquenessSchrödinger equationuncertainty principleHeisenberg type groups2-step nilpotent Lie grouposcillator semigroup

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (6)

Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups ⋮ An uncertainty principle of Paley and Wiener on Euclidean motion group ⋮ Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type ⋮ Around theorems of Ingham-type regarding decay of Fourier transform on \(\mathbb{R}^n, \mathbb{T}^n\) and two step nilpotent Lie groups ⋮ Uniqueness for solutions of the Schrödinger equation on trees ⋮ AN UNCERTAINTY PRINCIPLE FOR SOLUTIONS OF THE SCHRÖDINGER EQUATION ON -TYPE GROUPS

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• UNIQUENESS OF SOLUTIONS TO SCHRÖDINGER EQUATIONS ON -TYPE GROUPS
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