Three-spheres theorem for second order elliptic equations

DOI10.1007/BF02788771zbMath0851.35020MaRDI QIDQ1899787

R. G. M. Brummelhuis

Publication date: 19 October 1995

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

propagation of smallnessHadamard three-circles theoremharmonic functions on a Riemannian manifold

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (18)

Three sphere inequality for second order elliptic equations with coefficients with jump discontinuity ⋮ Stable determination of an elastic medium scatterer by a single far-field measurement and beyond ⋮ Three spheres inequalities for a two-dimensional elliptic system and its application ⋮ Manifolds for which Huber's theorem holds ⋮ Quantitative uniqueness for elliptic equations with singular lower order terms ⋮ On three balls theorem for discrete harmonic functions ⋮ Quantitative uniqueness for second-order elliptic operators ⋮ Quantitative unique continuation for Neumann problems of elliptic equations with weight ⋮ Unnamed Item ⋮ Arithmetic three-spheres theorems for quasilinear Riccati type inequalities ⋮ Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements ⋮ Three-spheres theorems for subelliptic quasilinear equations in Carnot groups of Heisenberg-type ⋮ Propagation of Smallness in Elliptic Periodic Homogenization ⋮ Stable Determination of a Rigid Scatterer in Elastodynamics ⋮ Propagation of smallness for an elliptic PDE with piecewise Lipschitz coefficients ⋮ Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems ⋮ Propagation of smallness and the uniqueness of solutions to some elliptic equations in the plane ⋮ Three-spheres theorem for \(p\)-harmonic mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Function theory on manifolds which possess a pole
• New bounds for solutions of second order elliptic partial differential equations
• Logarithmic convexity of \(L^ 2\) norms for solutions of linear elliptic equations
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Darstellung der Eigenwerte von \(\Delta u+\lambda u=0\) durch ein Randintegral
• Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ
• Note on the Decay of Solutions of Elliptic Equations
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Logarithmic Convexity for Supremum Norms of Harmonic Functions
• SOME PROBLEMS OF THE QUALITATIVE THEORY OF SECOND ORDER ELLIPTIC EQUATIONS (CASE OF SEVERAL INDEPENDENT VARIABLES)
• A smooth linear elliptic differential equation without any solution in a sphere

This page was built for publication: Three-spheres theorem for second order elliptic equations