Weighted doubling properties and unique continuation theorems for the degenerate Schrödinger equations with singular potentials

DOI10.1016/j.jmaa.2007.06.042zbMath1216.35044OpenAlexW2079783094MaRDI QIDQ2465806

Song Yan Zhang, Xiang Xing Tao

Publication date: 8 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.06.042

zbMATH Keywords

Lipschitz domaindegenerate Schrödinger equationboundary unique continuationFefferman-Phong's potentialweighted doubling property

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (11)

Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations ⋮ Unique continuation for fractional orders of elliptic equations ⋮ Unique continuation from the edge of a crack ⋮ Unique continuation principles in cones under nonzero Neumann boundary conditions ⋮ On a weighted two-phase boundary obstacle problem ⋮ Strong unique continuation from the boundary for the spectral fractional laplacian ⋮ The Calderón problem for variable coefficients nonlocal elliptic operators ⋮ Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations ⋮ Quantitative unique continuation for Neumann problems of elliptic equations with weight ⋮ Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations ⋮ Unique continuation principles for a higher order fractional Laplace equation

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