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Inverse Problems and Related Topics

Shanghai, China, October 12–14, 2018

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Jin Cheng

    1. Shanghai Key Laboratory for Contemporary Applied Mathematics, Key Laboratory of Mathematics for Nonlinear Sciences and School of Mathematical Sciences, Fudan University, Shanghai, China

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  2. Shuai Lu

    1. Shanghai Key Laboratory for Contemporary Applied Mathematics, Key Laboratory of Mathematics for Nonlinear Sciences and School of Mathematical Sciences, Fudan University, Shanghai, China

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  3. Masahiro Yamamoto

    1. Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

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  • Contains contributions by world-leading researchers in their fields
  • Presents diverse achievements including theories and numerics for inverse problems
  • Includes descriptions of updated results for inverse problems

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 310)

Included in the following conference series:

Conference proceedings info: ICIP2 2018.

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Table of contents (13 papers)

  1. Front Matter

    Pages i-viii
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  2. Inverse Problems and Related Topics for Partial Differential Equations

    1. Front Matter

      Pages 1-1
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    2. An Inverse Conductivity Problem in Multifrequency Electric Impedance Tomography

      • Jin Cheng, Mourad Choulli, Shuai Lu
      Pages 3-30

    3. Superexponential Stabilizability of Degenerate Parabolic Equations via Bilinear Control

      • Piermarco Cannarsa, Cristina Urbani
      Pages 31-45

    4. Simultaneous Determination of Two Coefficients in Itô Diffusion Processes: Theoretical and Numerical Approaches

      • Michel Cristofol, Lionel Roques
      Pages 47-57

    5. On the Inverse Source Problem with Boundary Data at Many Wave Numbers

      • Victor Isakov, Shuai Lu
      Pages 59-80

    6. Inverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits

      • Guanghui Hu, Yikan Liu, Masahiro Yamamoto
      Pages 81-100

    7. Inverse Problems for a Compressible Fluid System

      • Oleg Yu. Imanuvilov, Masahiro Yamamoto
      Pages 101-148

    8. Carleman Estimate for a General Second-Order Hyperbolic Equation

      • Xinchi Huang
      Pages 149-165

  3. Regularization Theory of Inverse Problems

    1. Front Matter

      Pages 167-167
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    2. A Priori Parameter Choice in Tikhonov Regularization with Oversmoothing Penalty for Non-linear Ill-Posed Problems

      • Bernd Hofmann, Peter Mathé
      Pages 169-176

    3. Case Studies and a Pitfall for Nonlinear Variational Regularization Under Conditional Stability

      • Daniel Gerth, Bernd Hofmann, Christopher Hofmann
      Pages 177-203

    4. Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory

      • Mykola Krasnoschok, Sergei Pereverzyev, Sergii V. Siryk, Nataliya Vasylyeva
      Pages 205-236

    5. On the Singular Value Decomposition of n-Fold Integration Operators

      • Ronny Ramlau, Christoph Koutschan, Bernd Hofmann
      Pages 237-256

    6. The Kurdyka–Łojasiewicz Inequality as Regularity Condition

      • Daniel Gerth, Stefan Kindermann
      Pages 257-274

    7. Value Function Calculus and Applications

      • Kazufumi Ito
      Pages 275-306

  4. Back Matter

    Pages 307-307
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  1. Inverse Problems and Related Topics

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About this book

This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the researches on inverse problems. The volume covers theories of inverse problems for partial differential equations, regularization methods, and related topics from control theory. This book addresses a wide audience of researchers and young post-docs and graduate students who are interested in mathematical sciences as well as mathematics.

Editors and Affiliations

  • Shanghai Key Laboratory for Contemporary Applied Mathematics, Key Laboratory of Mathematics for Nonlinear Sciences and School of Mathematical Sciences, Fudan University, Shanghai, China

    Jin Cheng, Shuai Lu

  • Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

    Masahiro Yamamoto

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