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Table of Contents
Preface Table of Contents
Inverse problems
The inverse problem of gravimetry
The inverse conductivity problem
The inverse scattering
Tomography and the inverse seismic problem
Ill-posed problems and regularization
Well-and ill-posed problems
Conditional correctness. Regularization
Construction of regularizers
Convergence of regularization
Uniqueness and stability in the Cauchy problem
The backward parabolic equation
General Carleman type estimates and the Cauchy problem
Elliptic and parabolic equations.
Inverse problems
The inverse problem of gravimetry
The inverse conductivity problem
The inverse scattering
Tomography and the inverse seismic problem
Ill-posed problems and regularization
Well-and ill-posed problems
Conditional correctness. Regularization
Construction of regularizers
Convergence of regularization
Uniqueness and stability in the Cauchy problem
The backward parabolic equation
General Carleman type estimates and the Cauchy problem
Elliptic and parabolic equations.