Ebook: Inverse Problems for Partial Differential Equations

The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems.

This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.

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The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems.

This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.

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The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems.

This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.

Content:
Front Matter....Pages i-xiii
Inverse Problems....Pages 1-19
Ill-Posed Problems and Regularization....Pages 20-40
Uniqueness and Stability in the Cauchy Problem....Pages 41-88
Elliptic Equations: Single Boundary Measurements....Pages 89-126
Elliptic Equations: Many Boundary Measurements....Pages 127-172
Scattering Problems....Pages 173-191
Integral Geometry and Tomography....Pages 192-217
Hyperbolic Problems....Pages 218-254
Inverse parabolic problems....Pages 255-296
Some Numerical Methods....Pages 297-320
Back Matter....Pages 321-346

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The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems.

This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.

Content:
Front Matter....Pages i-xiii
Inverse Problems....Pages 1-19
Ill-Posed Problems and Regularization....Pages 20-40
Uniqueness and Stability in the Cauchy Problem....Pages 41-88
Elliptic Equations: Single Boundary Measurements....Pages 89-126
Elliptic Equations: Many Boundary Measurements....Pages 127-172
Scattering Problems....Pages 173-191
Integral Geometry and Tomography....Pages 192-217
Hyperbolic Problems....Pages 218-254
Inverse parabolic problems....Pages 255-296
Some Numerical Methods....Pages 297-320
Back Matter....Pages 321-346
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