Convexity properties of discrete Schrödinger evolutions

DOI10.1007/s00028-019-00524-6zbMath1436.39005OpenAlexW2954035842MaRDI QIDQ1987654

Aingeru Fernández Bertolin

Publication date: 15 April 2020

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-019-00524-6

zbMATH Keywords

convexitymodified Bessel functionsdecay propertiesdiscrete Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Discrete version of topics in analysis (39A12) Perturbations of functional-differential equations (34K27) Difference equations in the complex domain (39A45)

Related Items

Uniqueness results for solutions of continuous and discrete PDE, Simple bounds with best possible accuracy for ratios of modified Bessel functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hardy uncertainty principle and unique continuation properties of covariant Schrödinger flows
• The sharp Hardy uncertainty principle for Schrödinger evolutions
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Discrete uncertainty principles and virial identities
• Hardy's uncertainty principle, convexity and Schrödinger evolutions
• Uniqueness for discrete Schrödinger evolutions
• A discrete Hardy's uncertainty principle and discrete evolutions
• Bounds for Turánians of modified Bessel functions
• Uniqueness properties of solutions of Schrödinger equations
• The Hardy uncertainty principle revisited
• Rational Bounds for Ratios of Modified Bessel Functions
• Computation of Modified Bessel Functions and Their Ratios
• Completely monotonic functions
• On unique continuation for nonlinear Schrödinger equations
• Uniqueness properties of solutions to Schrödinger equations
• Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions