Determination of source terms in a degenerate parabolic equation from a locally distributed observation

DOI10.1016/j.crma.2010.10.031zbMath1208.35177OpenAlexW1976244293MaRDI QIDQ616736

Jacques Tort

Publication date: 12 January 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.031

zbMATH Keywords

degenerate parabolic equationLipschitz stabilityinverse source problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (11)

GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ A note on the numerical solution of an identification problem for observing two-phase flow in capillaries ⋮ Lipschitz stability in inverse source problems for a singular parabolic equation ⋮ Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate ⋮ An inverse source problem for singular parabolic equations with interior degeneracy ⋮ Identifying unknown source in degenerate parabolic equation from final observation ⋮ Determination of the insolation function in the nonlinear Sellers climate model ⋮ Sharp Carleman estimates for singular parabolic equations and application to Lipschitz stability in inverse source problems ⋮ Carleman estimates and observability inequalities for a class of problems ruled by parabolic equations with interior degenaracy ⋮ Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations ⋮ Inverse problem of reconstruction of degenerate diffusion coefficient in a parabolic equation

Cites Work

• Sharp Carleman estimates for singular parabolic equations and application to Lipschitz stability in inverse source problems
• Null controllability of degenerate heat equations
• Carleman estimates for one-dimensional degenerate heat equations
• Simultaneous reconstruction of the initial temperature and heat radiative coefficient
• Determination of source terms in a degenerate parabolic equation
• Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
• Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation
• Carleman Estimates for a Class of Degenerate Parabolic Operators
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Uniqueness and stability in an inverse problem for the Schr dinger equation
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