000			02149 a2200289 4500
003			NISER
005			20260309164214.0
008			260309b |||||||| |||| 00| 0 hin d
020			_a9783031862663 _qPaperback
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	4	_a517.972.7 _bYAM-I
100	1		_aYamamoto, Masahiro
245	1	0	_aIntroduction to inverse problems for evolution equations : _bstability and uniqueness by Carleman estimates
260			_aCham : _bSpringer, _c2025.
300			_axv, 286 pages : _billustrations (11 b/w illustrations, 12 illustrations in colour) ; _c24 cm.
490			_aLecture notes of the Unione Matematica Italiana ; _v29
504			_aIncludes bibliographical references and index.
520			_aAmong several main formulations, the book treats inverse problems with single measurements by Carleman estimates and describes a method for proving the uniqueness and the stability for the first-order transport equations, parabolic equations, and hyperbolic equations. The book gives self-contained derivations of Carleman estimates, which do not rely on any general theory and simplified application method of the Carleman estimates to the inverse problems. Thus, the target audience is graduate students of faculty of sciences and interested graduate students from engineering fields. The book tries to limit the preliminary knowledge to a standard 4-year undergraduate course. In order to master the methodology, we restrict equations within first-order transport equations, parabolic equations and hyperbolic equations, but it is expected to apply the same methods for other evolution equations such as fluid dynamics.
650		0	_aCarleman theorem
650		0	_aInverse problems (Differential equations)
650		0	_aParabolic equation
650		0	_aHyperbolic equation
650		0	_aTikhonov regularization
856	4	1	_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-031-86267-0/1
856	4	1	_3Reviews _uhttps://www.goodreads.com/book/show/241000301-introduction-to-inverse-problems-for-evolution-equations?ref=nav_sb_ss_5_17#CommunityReviews
942			_cBK _2udc
999			_c36845 _d36845