Reconstructing the potential of the generalized heat equation

DOI10.1007/s44198-022-00058-5zbMath1502.35056OpenAlexW4280502646MaRDI QIDQ2680689

Ammar Khanfer

Publication date: 4 January 2023

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-022-00058-5

zbMATH Keywords

inverse problemgeneralized heat operatorCarleman's estimate

Mathematics Subject Classification ID

Heat equation (35K05) Heat kernel (35K08)

Cites Work

• A survey on inverse problems for applied sciences
• An inverse problem for a parabolic partial differential equation
• An inverse problem of finding a parameter in a semi-linear heat equation
• On a multi-dimensional inverse parabolic problem
• A uniqueness theorem in an identification problem for coefficients of parabolic equations
• Parameter determination in parabolic partial differential equations from overspecified boundary data
• Inverse problems of the determination of the coefficient in parabolic equations. I
• On uniqueness in inverse problems for semilinear parabolic equations
• On inverse problems of determining a coefficient in a parabolic equation. II
• Determination of an unknown coefficient in a parabolic differential equation
• Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
• Unique Identification of Eigenvalues and Coefficients in a Parabolic Problem
• The Determination of a Parabolic Equation from Initial and Final Data
• Parameter identification problem for a parabolic equation – application to the Black–Scholes option pricing model
• An inverse problem for the heat equation
• An inverse problem for the heat equation

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