LEADER 04258nam 22006375 450 001 9910254298303321 005 20200630082810.0 010 $a9783319516585 024 7 $a10.1007/978-3-319-51658-5 035 $a(CKB)3710000001072437 035 $a(DE-He213)978-3-319-51658-5 035 $a(MiAaPQ)EBC4812488 035 $a(PPN)198869258 035 $a(EXLCZ)993710000001072437 100 $a20170224d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInverse Problems for Partial Differential Equations$b[electronic resource] /$fby Victor Isakov 205 $a3rd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XV, 406 p. 4 illus.) 225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v127 311 $a3-319-51657-4 311 $a3-319-51658-2 320 $aIncludes bibliographical references and index. 327 $aInverse 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. 330 $aThis third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.  As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout. This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography. Review of the second edition: "The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ? The second edition is considerably expanded and reflects important recent developments in the field ? . Some of the research problems from the first edition have been solved ? ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006). 410 0$aApplied Mathematical Sciences,$x0066-5452 ;$v127 606 $aPartial differential equations 606 $aComputer mathematics 606 $aMathematical physics 606 $aRemote sensing 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aRemote Sensing/Photogrammetry$3https://scigraph.springernature.com/ontologies/product-market-codes/J13010 615 0$aPartial differential equations. 615 0$aComputer mathematics. 615 0$aMathematical physics. 615 0$aRemote sensing. 615 14$aPartial Differential Equations. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aRemote Sensing/Photogrammetry. 676 $a515.357 700 $aIsakov$b Victor$4aut$4http://id.loc.gov/vocabulary/relators/aut$059372 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254298303321 996 $aInverse problems for partial differential equations$983379 997 $aUNINA