Sharp Carleman estimates for singular parabolic equations and application to Lipschitz stability in inverse source problems

DOI10.1016/J.CRMA.2010.06.001zbMath1204.35058OpenAlexW2023314248MaRDI QIDQ990212

Judith Vancostenoble

Publication date: 6 September 2010

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.2010.06.001

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Singular parabolic equations (35K67)

Related Items (5)

GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ Determination of source terms in a degenerate parabolic equation from a locally distributed observation ⋮ Carleman estimates for the structurally damped plate equations with Robin boundary conditions and applications ⋮ Determination of the insolation function in the nonlinear Sellers climate model ⋮ Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations

Cites Work

• Determination of source terms in a degenerate parabolic equation from a locally distributed observation
• Carleman estimates and null controllability for boundary-degenerate parabolic operators
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Carleman estimates for coefficient inverse problems and numerical applications.
• Null controllability for the heat equation with singular inverse-square potentials
• Carleman estimates for one-dimensional degenerate heat equations
• Determination of source terms in a degenerate parabolic equation
• GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS
• Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation
• Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials
• Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential
• Carleman Estimates for a Class of Degenerate Parabolic Operators
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• On a global estimate in a linear inverse hyperbolic problem
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