Complex Methods for Inverse Problems
1st Edition
Published on 15. January 2025
Book
Hardback
X, 220 pages
978-3-11-040241-4 (ISBN)
Description
This book illustrates how to use complex methods to study inverse problems for partial differential equations in two and in higher dimensions, e.g., Calderón problems. Both theoretical aspects and numerical algorithms for inverse problems are discussed. The book is well-suited for researchers working in inverse problems and for graduate students in applied mathematics.
More details
Persons
Jin Chen, Fudan University, Shanghai, China; Masahiro Yamamoto, The University of Tokyo, Tokyo, Japan
Content
Table of Contents1.Generalized analytic function and first order elliptic systems in the plane2.Unique continuation on the analytic curve for the harmonic functions in two dimensions3.Unique continuation on the analytic curse for solution of elliptic equations in high dimensions4.Numerical algorithms for the unique continuation5.Inverse scattering method for nonlinear partial differential equations6.Inverse problems for partial differential equations: Calderon problems7.Reconstruction algorithms for the inverse problems