000			02176 a2200253 4500
999			_c55510 _d55510
008			210924b ||||| |||| 00| 0 eng d
020			_a9783319873992
082			_a515.357 _bHAS
100			_aHasano˘glu, A. Hasanov
245			_aIntroduction to inverse problems for differential equations
260			_bSpringer Nature, _c2017 _aCham :
300			_axiii, 261p. ; _bpb. ; _c23cm.
365			_aEURO _b99.99
504			_aIncludes references and index
520			_aThis book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. The book's content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties
650			_aNumerical analysis
650			_aDifferential equations, Partial
650			_aComputer science--Mathematics
650			_aMathematics
650			_aPhysics
650			_aComputer science _93
700			_aRomanov, V. G _eCo-author
942			_2ddc _cTD