Quantitative uniqueness estimates for the general second order elliptic equations

DOI10.1016/j.jfa.2014.02.016zbMath1296.35033arXiv1303.2189OpenAlexW2031880091MaRDI QIDQ2253279

Jenn-Nan Wang, Ching-Lung Lin

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2189

zbMATH Keywords

Carleman estimatesquantitative uniqueness estimate at infinity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Second-order elliptic equations (35J15)

Related Items (17)

Landis-type conjecture for the half-Laplacian ⋮ Doubling Property and Vanishing Order of Steklov Eigenfunctions ⋮ Quantitative uniqueness estimates for \(p\)-Laplace type equations in the plane ⋮ Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Quantitative unique continuation for Schrödinger operators ⋮ On the Landis conjecture for the fractional Schrödinger equation ⋮ The Landis conjecture for variable coefficient second-order elliptic PDEs ⋮ Unnamed Item ⋮ Quantitative unique continuation of solutions to higher order elliptic equations with singular coefficients ⋮ On Landis' conjecture in the plane for some equations with sign-changing potentials ⋮ Quantitative uniqueness of some higher order elliptic equations ⋮ On the asymptotic properties for stationary solutions to the Navier-Stokes equations ⋮ On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part ⋮ Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms ⋮ On the fractional Landis conjecture ⋮ Improved quantitative unique continuation for complex-valued drift equations in the plane ⋮ On Landis’ Conjecture in the Plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves
• Nodal sets of eigenfunctions on Riemannian manifolds
• Strong uniqueness for second order differential operators
• On localization in the continuous Anderson-Bernoulli model in higher dimension
• Quantitative uniqueness for Schroedinger operator
• Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger Operator
• L²-lower bounds to solutions of one-body Schrödinger equations
• On a question of Landis and Oleinik
• ON THE POSSIBLE RATE OF DECAY AT INFINITY OF SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
• Unique continuation at infinity of solutions to Schrödinger equations with complex-valued potentials
• Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
• Carleman estimates and necessary conditions for the existence of waveguides

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