04258nam 22006375 450 991025429830332120200630082810.0978331951658510.1007/978-3-319-51658-5(CKB)3710000001072437(DE-He213)978-3-319-51658-5(MiAaPQ)EBC4812488(PPN)198869258(EXLCZ)99371000000107243720170224d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierInverse Problems for Partial Differential Equations[electronic resource] /by Victor Isakov3rd ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XV, 406 p. 4 illus.)Applied Mathematical Sciences,0066-5452 ;127 3-319-51657-4 3-319-51658-2 Includes bibliographical references and index.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 and Stationary Waves -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse Parabolic Problems -- Some Numerical Methods -- Appendix: Functional Spaces.This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.  As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout. This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography. Review of the second edition: "The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. … The second edition is considerably expanded and reflects important recent developments in the field … . Some of the research problems from the first edition have been solved … ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006).Applied Mathematical Sciences,0066-5452 ;127 Partial differential equationsComputer mathematicsMathematical physicsRemote sensingPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XTheoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Remote Sensing/Photogrammetryhttps://scigraph.springernature.com/ontologies/product-market-codes/J13010Partial differential equations.Computer mathematics.Mathematical physics.Remote sensing.Partial Differential Equations.Computational Mathematics and Numerical Analysis.Theoretical, Mathematical and Computational Physics.Remote Sensing/Photogrammetry.515.357Isakov Victorauthttp://id.loc.gov/vocabulary/relators/aut59372MiAaPQMiAaPQMiAaPQBOOK9910254298303321Inverse problems for partial differential equations83379UNINA