Exponential bounds for gradient of solutions to linear elliptic and parabolic equations

DOI10.1016/j.jfa.2021.109094zbMath1481.35091arXiv2006.04582OpenAlexW3157864977MaRDI QIDQ2066036

Kévin Le Balc'h

Publication date: 13 January 2022

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

Full work available at URL: https://arxiv.org/abs/2006.04582

zbMATH Keywords

gradient estimateselliptic and parabolic equationsLandis' conjecture

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45)

Related Items (2)

The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients ⋮ Modulus of continuity estimates for fully nonlinear parabolic equations

Cites Work

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• On localization in the continuous Anderson-Bernoulli model in higher dimension
• Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger Operator
• Certain Liouville properties of eigenfunctions of elliptic operators
• On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
• Time-interior gradient estimates for quasilinear parabolic equations
• The Landis conjecture with sharp rate of decay
• Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms
• On Landis’ Conjecture in the Plane
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