On the scattering method for the -equation and reconstruction of convection coefficients

DOI10.1088/0266-5611/20/6/007zbMath1077.35120arXivmath/0403468OpenAlexW2098998566MaRDI QIDQ5709781

Alexandru Tamasan

Publication date: 30 November 2005

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403468

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

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Error Estimates for Reconstructed Conductivities via the D-bar Method ⋮ On explicitly solvable Vekua equations and explicit solution of the stationary Schrödinger equation and of the equationdiv(σ∇u)=0 ⋮ Existence of solutions of inverse problems for elliptic complex equations with degenerate curve in multiple connected domains ⋮ A Regularization Scheme for 2D Conductivity Imaging by the D-Bar Method ⋮ A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey-Stewartson equation and to the inverse boundary value problem of Calderón ⋮ A new process for constructing coefficients of elliptic complex equations in multiply connected domains ⋮ Stability estimate for an inverse problem of the convection-diffusion equation ⋮ The inverse problem for linear elliptic systems of first order with Riemann–Hilbert-type map in multiply connected domains ⋮ Identifiability at the boundary for first-order terms ⋮ The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains

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