Linearized inverse problem for the Dirichlet-to-Neumann map on differential forms

DOI10.1016/J.BULSCI.2008.07.001zbMath1189.58011OpenAlexW2083122963MaRDI QIDQ1028273

Vladimir Sharafutdinov

Publication date: 30 June 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.07.001

zbMATH Keywords

inverse problemsharmonic formsDirichlet-Neumann map

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (2)

The complete Dirichlet-to-Neumann map for differential forms ⋮ A density property for tensor products of gradients of harmonic functions and applications

Cites Work

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• Variations of Dirichlet-to-Neumann map and deformation boundary rigidity of simple 2-manifolds
• Hodge decomposition. A method for solving boundary value problems
• Integral geometry for tensor fields. Transl. from the Russian
• Partial differential equations. 1: Basic theory
• Dirichlet to Neumann operator on differential forms
• On conformal Killing symmetric tensor fields on Riemannian manifolds
• Conformal uniqueness results in anisotropic electrical impedance imaging
• Determining anisotropic real-analytic conductivities by boundary measurements
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map
• The Calderon Problem for Two-Dimensional Manifolds by the BC-Method

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