Uniqueness properties of solutions to Schrödinger equations
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Publication:4899973
DOI10.1090/S0273-0979-2011-01368-4zbMath1268.35112OpenAlexW1975090632MaRDI QIDQ4899973
Gustavo Ponce, Luis Escauriaza, Luis Vega, Carlos E. Kenig
Publication date: 10 January 2013
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-2011-01368-4
NLS equations (nonlinear Schrödinger equations) (35Q55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (28)
Unique continuation properties for one dimensional higher order Schrödinger equations ⋮ Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups ⋮ Uncertainty principle for discrete Schrödinger evolution on graphs ⋮ Static and dynamical, fractional uncertainty principles ⋮ Unique continuation from infinity for linear waves ⋮ Unique continuation inequalities for nonlinear Schroedinger equations based on uncertainty principles ⋮ Uniqueness results for solutions of continuous and discrete PDE ⋮ An uncertainty principle of Paley and Wiener on Euclidean motion group ⋮ A quantitative Carleman estimate for second-order elliptic operators ⋮ Hardy’s uncertainty principle and unique continuation property for stochastic heat equations ⋮ On unique continuation for non-local dispersive models ⋮ Theorems of Ingham and Chernoff on Riemannian symmetric spaces of noncompact type ⋮ Unique continuation for the Schrödinger equation with gradient term ⋮ Observability inequality at two time points for the KdV equation from measurable sets ⋮ A dynamic uncertainty principle for Jacobi operators ⋮ Hardy uncertainty principle, convexity and parabolic evolutions ⋮ Convexity properties of discrete Schrödinger evolutions ⋮ Uniqueness properties for discrete equations and Carleman estimates ⋮ Unique continuation through hyperplane for higher order parabolic and Schrödinger equations ⋮ A discrete Hardy's uncertainty principle and discrete evolutions ⋮ Observability and unique continuation inequalities for the Schrödinger equation ⋮ Around theorems of Ingham-type regarding decay of Fourier transform on \(\mathbb{R}^n, \mathbb{T}^n\) and two step nilpotent Lie groups ⋮ Some Lower Bounds for Solutions of Schrödinger Evolutions ⋮ Observability Inequality at Two Time Points for KdV Equations ⋮ Mass propagation for electromagnetic Schrödinger evolutions ⋮ Uniqueness of solutions to nonlinear Schrödinger equations from their zeros ⋮ Dynamical versions of Hardy’s uncertainty principle: A survey
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