Nonlinear inverse problems for parabolic equations with time-dependent coefficients. Reduction to nonlocal problems with Samarskii-Ionkin type conditions

DOI10.1007/s10958-023-06617-5OpenAlexW4386092614MaRDI QIDQ6187918

Tat'Yana N. Shipina, A. I. Kozhanov

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06617-5

zbMATH Keywords

boundary overdetermination conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Cites Work

• Simultaneous determination of time-dependent coefficients in the heat equation
• Parabolic equations with unknown time-dependent coefficients
• On some inverse problems for first order operator-differential equations
• On some classes of inverse problems of recovering the heat transfer coefficient in stratified media
• On some Inverse Parabolic Problems with Pointwise Overdetermination
• Solvability of Nonlinear Inverse Problem for Hyperbolic Equation
• Nonlocal problems with generalized Samarskii-Ionkin condition for some classes of nonstationary differential equations
• Initial-boundary value problems with generalized Samarskii-Ionkin condition for parabolic equations with arbitrary evolution direction
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