Stability of the unique continuation for the wave operator via Tataru inequality: the local case

DOI10.1007/s11854-018-0006-2zbMath1420.35053OpenAlexW2794249661MaRDI QIDQ1782078

Roberta Bosi, Matti Lassas, Yaroslav Kurylev

Publication date: 18 September 2018

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

Full work available at URL: http://hdl.handle.net/10138/311064

zbMATH Keywords

logarithmic estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (5)

Reconstruction and stability in Gelfand's inverse interior spectral problem ⋮ Sharp uniqueness and stability of solution for an inverse source problem for the Schrödinger equation ⋮ Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem ⋮ Inverse Problems for Discrete Heat Equations and Random Walks for a Class of Graphs ⋮ Conditionally stable unique continuation and applications to thermoacoustic tomography

Cites Work

• Quantitative estimates of strong unique continuation for wave equations
• Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves
• Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
• Unique continuation for operators with partially analytic coefficients
• Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients
• On localization in the continuous Anderson-Bernoulli model in higher dimension
• New realization of the pseudoconvexity and its application to an inverse problem
• The stability for the Cauchy problem for elliptic equations
• An inverse problem for the dynamical Lamé system with two sets of boundary data
• Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
• Inverse problems for partial differential equations
• Stability of the unique continuation for the wave operator via Tataru inequality and applications
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