The sharp Hardy uncertainty principle for Schrödinger evolutions
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Publication:605916
DOI10.1215/00127094-2010-053zbMath1220.35008arXiv0906.0884OpenAlexW3101062389MaRDI QIDQ605916
Luis Escauriaza, Gustavo Ponce, Carlos E. Kenig, Luis Vega
Publication date: 15 November 2010
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0884
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Continuation and prolongation of solutions to PDEs (35B60)
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Cites Work
- Unnamed Item
- Unnamed Item
- \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations
- A survey on uncertainty principles related to quadratic forms
- Hardy's uncertainty principle, convexity and Schrödinger evolutions
- Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
- A uniqueness theorem of Beurling for Fourier transform pairs
- Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
- Uncertainty principles on certain Lie groups
- Uniqueness properties of solutions of Schrödinger equations
- Unique continuation for the Schrödinger equation with gradient vector potentials
- On unique continuation for nonlinear Schrödinger equations
- A Theorem Concerning Fourier Transforms
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