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Book Synopsis

- 1. How inverse problems appear and what should we study about inverse problems?.- 2. Application of the multiplier method to an inverse wave source problem.- 3. Inverse problems by Carleman estimates for first-order transport equations.- 4. Inverse problems by Carleman estimates for parabolic equations.- 5. Inverse problems by Carleman estimates for hyperbolic equations.- 6. Conditional stability and convergence rates of the Tikhonov regularization.- 7. Other estimates of Carleman type.- 8. Derivation of Carleman estimates for elliptic equations.

Introduction to Inverse Problems for Evolution Equations

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A Paperback by Masahiro Yamamoto

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    View other formats and editions of Introduction to Inverse Problems for Evolution Equations by Masahiro Yamamoto

    Publisher: Springer
    Publication Date: 5/3/2025
    ISBN13: 9783031862663, 978-3031862663
    ISBN10: 303186266X
    Also in:
    Calculus and mathematical analysis

    Description

    Book Synopsis

    - 1. How inverse problems appear and what should we study about inverse problems?.- 2. Application of the multiplier method to an inverse wave source problem.- 3. Inverse problems by Carleman estimates for first-order transport equations.- 4. Inverse problems by Carleman estimates for parabolic equations.- 5. Inverse problems by Carleman estimates for hyperbolic equations.- 6. Conditional stability and convergence rates of the Tikhonov regularization.- 7. Other estimates of Carleman type.- 8. Derivation of Carleman estimates for elliptic equations.

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