Optimal three cylinder inequality at the boundary for solutions to parabolic equations and unique continuation properties

DOI10.1007/S10114-004-0498-9zbMath1088.35011OpenAlexW2110034066MaRDI QIDQ2581156

Sergio Vessella

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0498-9

zbMATH Keywords

Parabolic equationsStability estimatesUnique continuation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60) Second-order parabolic equations (35K10)

Related Items (1)

On the unique continuation properties for elliptic operators with singular potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Carleman type estimates in an anisotropic case and applications
• A unique continuation theorem for exterior differential forms on Riemannian manifolds
• Three cylinder inequalities and unique continuation properties for parabolic equations
• Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries
• Uniqueness theorems for second order elliptic differential equations
• C1,? domains and unique continuation at the boundary
• A stability result in the localization of cavities in a thermic conducting medium
• Carleman Estimates, Optimal Three Cylinder Inequality, and Unique Continuation Properties for Solutions to Parabolic Equations

This page was built for publication: Optimal three cylinder inequality at the boundary for solutions to parabolic equations and unique continuation properties