A unique continuation theorem for uniformly elliptic equations with strongly singular potentials

DOI10.1080/03605309308820968zbMath0788.35015OpenAlexW2029730690MaRDI QIDQ3141784

Kazuhiro Kurata

Publication date: 9 November 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820968

zbMATH Keywords

unique continuationKato classuniformly elliptic linear equations

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Unique continuation on a line for the Helmholtz equation ⋮ Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients ⋮ On the unique continuation properties for elliptic operators with singular potentials ⋮ Unique continuation principles in cones under nonzero Neumann boundary conditions ⋮ A unique continuation theorem for the Schrödinger equation with singular magnetic field ⋮ Boundary unique continuation theorems under zero Neumann boundary conditions ⋮ The Dirichlet-to-Neumann operator via hidden compactness ⋮ On doubling properties for non-negative weak solutions of elliptic and parabolic PDE ⋮ Weighted doubling properties and unique continuation theorems for the degenerate Schrödinger equations with singular potentials ⋮ Quantitative unique continuation for Neumann problems of elliptic equations with weight ⋮ Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations ⋮ Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials ⋮ Carleman inequalities and the heat operator ⋮ Unique continuation for the magnetic Schrödinger operator with singular potentials

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