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LEADER 00000cam a2200000 i 4500
001 EBOOKCENTRAL_ocn903973808
003 OCoLC
005 20240329122006.0
006 m o d
007 cr cn|||||||||
008 150212s1999 ne ob 000 0 eng d
040 |a E7B  |b eng  |e rda  |e pn  |c E7B  |d OCLCQ  |d OCLCF  |d IDEBK  |d EBLCP  |d YDXCP  |d OCLCQ  |d COCUF  |d STF  |d MERUC  |d LOA  |d ZCU  |d ICG  |d OCLCQ  |d VT2  |d K6U  |d DKC  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCL 
019 |a 913090360  |a 922950557 
020 |a 9783110943290  |q (e-book) 
020 |a 3110943298  |q (e-book) 
020 |z 9783110354980 
035 |a (OCoLC)903973808  |z (OCoLC)913090360  |z (OCoLC)922950557 
037 |a 807161  |b MIL 
050 4 |a QA374  |b .L67 1999eb 
082 0 4 |a 510  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Lorenzi, A.,  |e author. 
245 1 0 |a Identification problems of wave phenomena :  |b theory and numerics /  |c S.I. Kabanikhin and A. Lorenzi. 
264 1 |a Utrecht, the Netherlands :  |b VSP,  |c 1999. 
300 |a 1 online resource (352 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series 
504 |a Includes bibliographical references. 
588 0 |a Online resource; title from PDF title page (ebrary, viewed February 12, 2015). 
505 0 |a Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- 1.1. Introduction -- 1.2. Inverse Problems of Mathematical Physics -- 1.3. Inverse problem for the wave equation -- 1.4. The equation of plane waves. The dâ€?Alembert formula -- 1.5. The Cauchy problem -- 1.6. The dâ€?Alembert operator with smooth initial data -- 1.7. The Kirchhoff and Poisson formulae -- 1.8. Huygens principle -- 1.9. Time-like and space-like surfaces -- 1.10. Inverse problems with smooth initial data -- 1.11. Inverse problem for the acoustic equation 
505 8 |a Chapter 2. Volterra operator equations2.1. Main definitions -- 2.2. Local well-posedness -- 2.3. Well-posedness for sufficiently small data -- 2.4. Well-posedness in the neighborhood of the exact solution -- Chapter 3. Inverse problems for Maxwellâ€?s equations -- 3.1. Introduction -- 3.2. Reduction of inverse problem for Maxwellâ€?s equations to a Volterra operator equation -- 3.3. Local well-posedness and global uniqueness -- 3.4. Well-posedness in the neighborhood of the exact solution -- Chapter 4. Linearization and Newton-Kantorovich method 
505 8 |a 4.1. Linearization of Volterra operator equations4.2. he linearized inverse problem for the wave equation -- 4.3. The Newton-Kantorovich method -- Chapter 5. The Gelâ€?fand -- Levitan Method -- 5.1. Introduction -- 5.2. Gelâ€?fand-Levitanâ€?s approach to multidimensional inverse problems -- 5.3. Discrete inverse problems -- 5.4. Discrete direct problems -- 5.5. An auxiliary problem -- 5.6. A necessary condition for the existence of the global solution to the discrete inverse problem 
505 8 |a 5.7. Sufficient conditions for the existence of the global solution to the discrete inverse problemChapter 6. Regularization -- 6.1. Introduction -- 6.2. Volterra regularization -- Chapter 7. The method of the optimal control -- 7.1. Introduction -- 7.2. Discrete inverse problem -- 7.3. Special representation for the solution to the discrete direct problem -- 7.4. Uniqueness of the stationary point -- Chapter 8. Inversion of finite-difference schemes -- 8.1. Convergence of the method of inversion of finite-difference schemes 
505 8 |a 8.2. Picard and Caratheodory successive approximationsChapter 9. Strongly ill-posed problems -- 9.1. A strongly ill-posed problem for the Laplace equation -- 9.2. Conditional continuous dependence on the data -- 9.3. Approximate solutions to the Cauchy problem for the Laplace equation -- 9.4. Approximate solutions to the non-characteristic problem for the multidimensional heat equation -- 9.5. Existence of solutions satisfying operator inequalities -- Chapter 10. Identification problems related to first-order scalar semilinear equations 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Wave equation. 
650 0 |a Waves  |x Mathematics. 
650 0 |a Nonlinear wave equations. 
650 0 |a Inverse problems (Differential equations) 
650 0 |a Volterra equations. 
650 0 |a Number theory. 
650 6 |a Équations d'onde. 
650 6 |a Ondes  |x Mathématiques. 
650 6 |a Équations d'onde non linéaires. 
650 6 |a Problèmes inverses (Équations différentielles) 
650 6 |a Équations de Volterra. 
650 6 |a Théorie des nombres. 
650 7 |a Inverse problems (Differential equations)  |2 fast 
650 7 |a Nonlinear wave equations  |2 fast 
650 7 |a Number theory  |2 fast 
650 7 |a Volterra equations  |2 fast 
650 7 |a Wave equation  |2 fast 
650 7 |a Waves  |x Mathematics  |2 fast 
700 1 |a Kabanikhin, S. I.,  |e author. 
758 |i has work:  |a Identification problems of wave phenomena (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGDjDyQtKtpdkGFFr3kGgX  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Lorenzi, A.  |t Identification Problems of Wave Phenomena : Theory and Numerics.  |d Hawthorne : De Gruyter, ©1999  |z 9783110354980 
830 0 |a Inverse and ill-posed problems series. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3049396  |z Texto completo 
936 |a BATCHLOAD 
938 |a EBL - Ebook Library  |b EBLB  |n EBL3049396 
938 |a ebrary  |b EBRY  |n ebr11008732 
938 |a ProQuest MyiLibrary Digital eBook Collection  |b IDEB  |n cis13822324 
938 |a YBP Library Services  |b YANK  |n 10853156 
994 |a 92  |b IZTAP