Uniqueness results for solutions of continuous and discrete PDE

DOI10.4171/8ecm/33zbMath1526.35131OpenAlexW4384298819MaRDI QIDQ6064563

Eugenia Malinnikova

Publication date: 10 November 2023

Published in: European Congress of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/8ecm/33

zbMATH Keywords

Schrödinger equationunique continuation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) Discrete potential theory (31C20) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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• On three balls theorem for discrete harmonic functions
• Uniqueness properties for discrete equations and Carleman estimates
• The sharp Hardy uncertainty principle for Schrödinger evolutions
• Harmonic functions on the lattice: absolute monotonicity and propagation of smallness
• Hardy's uncertainty principle, convexity and Schrödinger evolutions
• Convexity properties of discrete Schrödinger evolutions
• Uniqueness for discrete Schrödinger evolutions
• On Landis' conjecture in the plane for some equations with sign-changing potentials
• A discrete Hardy's uncertainty principle and discrete evolutions
• Anderson-Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle
• The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions
• A discrete harmonic function bounded on a large portion of \({\mathbb{Z}^2}\) is constant
• Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice
• Landis' conjecture for general second order elliptic equations with singular lower order terms in the plane
• Uniqueness properties of solutions of Schrödinger equations
• Uniqueness of solutions to Schrödinger equations on complex semi-simple Lie groups
• On localization in the continuous Anderson-Bernoulli model in higher dimension
• Discrete Carleman estimates and three balls inequalities
• The Hardy uncertainty principle revisited
• Uniqueness properties of solutions to Schrödinger equations
• Decay rates at infinity for solutions to periodic Schrödinger equations
• Dynamical versions of Hardy’s uncertainty principle: A survey
• On Landis’ Conjecture in the Plane
• Mathematical Pearls: A Proof of Liouville's Theorem

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