Inverse Problems for Partial Differential Equations [electronic resource] / by Victor Isakov.

By: Isakov, Victor [author.]
Contributor(s): SpringerLink (Online service)
Material type: TextTextSeries: Applied Mathematical Sciences: 127Publisher: New York, NY : Springer New York, 2006Edition: Second EditionDescription: XIV, 346 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387321837Subject(s): Mathematics | Mathematical analysis | Analysis (Mathematics) | Computer mathematics | Physics | Mathematics | Analysis | Computational Mathematics and Numerical Analysis | Theoretical, Mathematical and Computational PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access online
Contents:
Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse parabolic problems -- Some Numerical Methods.
In: Springer eBooksSummary: 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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Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse parabolic problems -- Some Numerical Methods.

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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