On quantitative unique continuation properties of fractional Schrödinger equations: Doubling, vanishing order and nodal domain estimates
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Publication:2951904
DOI10.1090/tran/6758zbMath1377.35276arXiv1407.0817OpenAlexW3104670862MaRDI QIDQ2951904
Publication date: 10 January 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.0817
eigenvalueeigenfunctionnodal domainCarleman estimatefractional Schrödinger equationquantitative unique continuationbulk quantitative doubling estimateelliptic Caffarelli-Silvestre extensionthree balls inequality
Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (18)
On some partial data Calderón type problems with mixed boundary conditions ⋮ Sharp vanishing order of solutions to stationary Schrödinger equations on Carnot groups of arbitrary step ⋮ Quantitative uniqueness for elliptic equations at the boundary of \(C^{1,\operatorname{Dini}}\) domains ⋮ Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation ⋮ The Calderón problem for the fractional Schrödinger equation with drift ⋮ On a weighted two-phase boundary obstacle problem ⋮ Boundary doubling inequality and nodal sets of Robin and Neumann eigenfunctions ⋮ Quantitative uniqueness for fractional heat type operators ⋮ Space-like quantitative uniqueness for parabolic operators ⋮ On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions ⋮ Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation ⋮ Doubling inequalities and critical sets of Dirichlet eigenfunctions ⋮ On Single Measurement Stability for the Fractional Calderón Problem ⋮ Strong unique continuation for the higher order fractional Laplacian ⋮ On the fractional Landis conjecture ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Absence of embedded eigenvalues for non-local Schrödinger operators ⋮ The nodal set of solutions to some nonlocal sublinear problems
Uses Software
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