Formulas in Inverse and Ill-Posed Problems
VSP International Science Publishers (Verlag)
978-90-6764-216-3 (ISBN)
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Part 1 Equations and relations in inverse and ill-posed problems: general approach in a theory of multidimensional inverse problems; control and inverse problems; generating functions, evolution equation and inverse problems; algebraic question on the theory of multidimensional inverse problems for non-linear evolution equations; inverse problems for the Maxwell equation. Part 2 Formulas in inverse problems for evolution equations of the general type: inverse problem, formal results; sufficient conditions for correctness of the formulas (2.3), (2.4); the formulas for solution of the inverse problem in bounded domain; formulas in the inverse problem for a general evolution equation of the second order; reduction of multidimensional inverse problems to initial-boundary value problems in Hilbert spaces; reduction of more common inverse problems to initial-boundary value problems; formulas in problems of determination of sources. Part 4 Formulas in inverse problems for the kinematic problems in seismology: inverse kinematic problem - some relations; formulas for the ray and time; integro-differential relations and the first integrals; linear first integral quadratic first-integral generalization of the Herglotz formula; integro-differential identities in the plane; determination of the Riemann metric of a special form; the problem associated with an equation for geodesics of the Liouville metric; determination of a homogeneous functional. Part 3 Formulas in integral geometry and tomography. Part 4 The analytical representation of solutions of some inverse and ill-posed problems. Part 5 Mathematical models in the problems of ethnogeny and evolution of populations. (Part contents)
| Erscheint lt. Verlag | 1.1.1997 |
|---|---|
| Reihe/Serie | Inverse and Ill-Posed Problems Series ; 6 |
| Verlagsort | Zeist |
| Sprache | englisch |
| Gewicht | 315 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Geowissenschaften ► Geophysik | |
| ISBN-10 | 90-6764-216-9 / 9067642169 |
| ISBN-13 | 978-90-6764-216-3 / 9789067642163 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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