000			02639cam a22003015i 4500
005			20240314173524.0
008			170224s2017 gw |||| o |||| 0|eng
020			_a9783319516585
041			_aeng
082	0	4	_a515.353 _bIsaI3
100	1		_aIsakov, Victor.
245	1	0	_aInverse Problems for Partial Differential Equations / _cVictor Isakov
250			_a3rd Ed.
260			_aSwitzerland : _bSpringer, _cc1998.
300			_axv, 406p.
440			_aApplied Mathematical Sciences _vVol. 127
505	0		_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.
520			_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).
650		0	_aComputer Mathematics
650		0	_aMathematical Physics
650		0	_aPartial Differential Equations
650		0	_aRemote Sensing
650	1	4	_aPartial Differential Equations
650	2	4	_aComputational Mathematics and Numerical Analysis
650	2	4	_aRemote Sensing/Photogrammetry
650	2	4	_aTheoretical, Mathematical and Computational Physics
942			_cBK
999			_c5516 _d5516