Two Integral Geometry Problems of Volterra Type on a Plane

M. M. Lavrent’ev ()
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M. M. Lavrent’ev: Siberian Branch of the Russia Academy of Sciences (SB RAS), Sobolev Institute of Mathematics

A chapter in Applied and Industrial Mathematics, Venice—2, 1998, 2000, pp 109-133 from Springer

Abstract: Abstract Integral geometry problems of Volterra type are problems which can be represented as problems of solution of Volterra operator equations. Here we consider two integral geometry problems in which integration is carried out along parts of parabolas. In contrast to the most of investigated integral geometry problems of Volterra type, for the problems concerned there take place exponential estimates of conditional stability, i. e., these problems are weakly ill-posed. The results presented in this paper were obtained by the author together with Akr. Kh. Begmatov (Samarkand State University).

Keywords: Imaginary Axis; Real Hilbert Space; Stability Estimate; Harmonic Measure; Integral Volterra Equation (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-4193-2_7

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DOI: 10.1007/978-94-011-4193-2_7

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