Uniqueness properties for discrete equations and Carleman estimates
Copyright policy )Uniqueness properties for discrete equations and Carleman estimates
In the revised version, published in 2017, we improve our Carleman estimate and the method of proof of Theorem 1.1 in order to quantify the uniqueness result in the one dimensional case, proving the sharp uniqueness result conjectured by Lyubarskii, Jaming, Malinnikova and Perfekt
Using Carleman estimates, we give a lower bound for solutions to the discrete Schr��dinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.
Discrete Hardy uncertainty principle, Carleman estimates, A priori estimates in context of PDEs, unique continuation, Mathematics - Analysis of PDEs, Time-dependent Schrödinger equations and Dirac equations, discrete uncertainty principle, FOS: Mathematics, Discrete version of topics in analysis, Unique continuation, Analysis of PDEs (math.AP)
Discrete Hardy uncertainty principle, Carleman estimates, A priori estimates in context of PDEs, unique continuation, Mathematics - Analysis of PDEs, Time-dependent Schrödinger equations and Dirac equations, discrete uncertainty principle, FOS: Mathematics, Discrete version of topics in analysis, Unique continuation, Analysis of PDEs (math.AP)
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