The quasi-reversibility method to solve the Cauchy problems for parabolic equations

DOI10.1007/s10114-013-1735-xzbMath1273.35305OpenAlexW2032304677MaRDI QIDQ2392007

Jing Li, Bo-ling Guo

Publication date: 6 August 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1735-x

zbMATH Keywords

Cauchy problemsparabolic equationsill-posed problemsquasi-reversibility

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Second-order parabolic equations (35K10) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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Cites Work

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• A quasi-reversibility approach to solve the inverse obstacle problem
• Solution of the Cauchy problem using iterated Tikhonov regularization
• A uniqueness theorem for parabolic equations
• The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
• A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation
• Carleman estimates for parabolic equations and applications
• Existence of approximate controls for a semilinear Laplace equation
• A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data
• Convex Analysis

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