Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries

DOI10.1090/S0002-9947-01-02860-4zbMath0992.35112MaRDI QIDQ2759066

Edi Rosset, B. Canuto, Sergio Vessella

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

stabilitystrong unique continuationunknown domainelliptic continuationthree spheres and three cylinders inequalities

Mathematics Subject Classification ID

Related Items (24)

On quantitative uniqueness for elliptic equations ⋮ Carleman Estimates, Optimal Three Cylinder Inequality, and Unique Continuation Properties for Solutions to Parabolic Equations ⋮ A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance ⋮ A local asymptotic expansion for a solution of the Stokes system ⋮ Numerical method for the inverse heat transfer problem in composite materials with Stefan-Boltzmann conditions ⋮ Determination of unknown boundary in the composite materials with Stefan-Boltzmann conditions ⋮ An inverse boundary problem for one-dimensional heat equation with a multilayer domain ⋮ Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions ⋮ Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate ⋮ Stability properties of an inverse parabolic problem with unknown boundaries ⋮ Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller ⋮ APPLICATION OF THE DISCRETE REGULARIZATION METHOD TO THE INVERSE OF THE CHORD VIBRATION EQUATION ⋮ Quantitative estimates of strong unique continuation for wave equations ⋮ Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions ⋮ Extracting discontinuity in a heat conductive body. One-space dimensional case ⋮ A stability result in the localization of cavities in a thermic conducting medium ⋮ Doubling properties of caloric functions ⋮ Quantitative unique continuation for a parabolic equation ⋮ Unique continuation property with partial information for two-dimensional anisotropic elasticity systems ⋮ Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation ⋮ Optimal three cylinder inequality at the boundary for solutions to parabolic equations and unique continuation properties ⋮ Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries ⋮ An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method ⋮ On quantitative uniqueness for parabolic equations

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• C1,? domains and unique continuation at the boundary
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