Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients

DOI10.1134/S0965542517050049OpenAlexW2621544951MaRDI QIDQ2401108

Vitaly L. Kamynin

Publication date: 31 August 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517050049

zbMATH Keywords

inverse problemscondition of integral observationdegenerating parabolic equationsunbounded coefficients of equation

Mathematics Subject Classification ID

Integral equations (45-XX) Partial differential equations (35-XX)

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Cites Work

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• On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation
• An inverse problem for a higher order parabolic equation
• Inverse problems for linear degenerate parabolic equations by ``time-like Carleman estimate
• Identifying the volatility of underlying assets from option prices
• Determination of source terms in a degenerate parabolic equation
• An inverse problem of identifying the source coefficient in a degenerate heat equation
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets
• A new well-posed algorithm to recover implied local volatility
• An inverse problem for strongly degenerate heat equation

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