Quantitative uniqueness for elliptic equations at the boundary of \(C^{1,\operatorname{Dini}}\) domains

DOI10.1016/j.jde.2016.09.001zbMath1359.35039arXiv1605.02363OpenAlexW2963186237MaRDI QIDQ329244

Nicola Garofalo, Agnid Banerjee

Publication date: 21 October 2016

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

Full work available at URL: https://arxiv.org/abs/1605.02363

zbMATH Keywords

Schrödinger operatorelliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Sharp vanishing order of solutions to stationary Schrödinger equations on Carnot groups of arbitrary step ⋮ Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation ⋮ Quantitative unique continuation for Robin boundary value problems on C^{1,1} domains ⋮ Carleman estimates for sub-Laplacians on Carnot groups ⋮ Quantitative uniqueness for fractional heat type operators ⋮ Space-like quantitative uniqueness for parabolic operators ⋮ Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions ⋮ Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation ⋮ Doubling inequality at the boundary for the Kirchhoff-Love plate's equation with supported conditions ⋮ Interior decay of solutions to elliptic equations with respect to frequencies at the boundary

Cites Work

• New bounds for solutions of second order elliptic partial differential equations
• Nodal sets of eigenfunctions on Riemannian manifolds
• Convex domains and unique continuation at the boundary
• Quantitative uniqueness for second-order elliptic operators
• Quantitative uniqueness for Schroedinger operator
• On quantitative unique continuation properties of fractional Schrödinger equations: Doubling, vanishing order and nodal domain estimates
• Direct Methods in the Theory of Elliptic Equations
• The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
• Unique continuation for elliptic operators: A geometric-variational approach
• Unique continuation on the boundary for Dini domains
• C1,? domains and unique continuation at the boundary
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