A generalization on the solvability of integral geometry problems along plane curves

DOI10.1186/1687-2770-2013-202zbMath1302.53084OpenAlexW2119100462WikidataQ59298916 ScholiaQ59298916MaRDI QIDQ2251647

Zekeriya Ustaoglu

Publication date: 15 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-202

zbMATH Keywords

Galerkin methodinverse problemintegral geometry problemtransport-like equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral geometry (53C65) Curves in Euclidean and related spaces (53A04)

Related Items (1)

Stability and uniqueness for an integral geometry problem with a weight function

Cites Work

• An inversion formula for the attenuated \(X\)-ray transformation
• Inversion of the attenuated Radon transform
• Solvability of a Two Dimensional Coefficient Inverse Problem for Transport Equation and a Numerical Method
• Exact Controllability for the Time Dependent Transport Equation
• Optical tomography in medical imaging
• An inverse boundary value problem in two-dimensional transport
• Representation of a Function by Its Line Integrals, with Some Radiological Applications

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