Integral identity for a class of ill-posed problems generated by a parabolic equation

DOI10.1515/JIIP-2014-0080zbMath1351.45002OpenAlexW2526364805MaRDI QIDQ327780

Kirill V. Svetlov, Sergey A. Vavilov

Publication date: 19 October 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2014-0080

zbMATH Keywords

inverse problemparabolic equationill-posed problemfirst-kind Fredholm equationstochastic diffusion processtranslation kernel

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Fredholm integral equations (45B05) Inverse problems for integral equations (45Q05)

Cites Work

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• Application of functions of several variables with limited variations for piecewise uniform regularization of ill-posed problems
• Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
• Arbitrage Theory in Continuous Time
• Stochastic differential equations. An introduction with applications.

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