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191222 r ||| eng |
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|a 9783110944983
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|a Megrabov, Alexander G.
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|a Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations
|h Elektronische Ressource
|c Alexander G. Megrabov
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| 250 |
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|a Reprint 2012
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| 260 |
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|a Berlin
|b De Gruyter
|c 2012, [2012]©2003
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| 300 |
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|a 237 p.
|b Zahlr. Abb
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| 653 |
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|a (DE-601)104653515 / (DE-588)4128130-5 / Numerisches Verfahren / gnd
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| 653 |
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|a Sturm-Liouville Equation
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| 653 |
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|a Differential equations, Partial / Numerical solutions
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| 653 |
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|a Direct Problems
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| 653 |
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|a Hyperbolic,
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| 653 |
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|a Partielle Differentialgleichung
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| 653 |
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|a Randwertproblem
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| 653 |
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|a (DE-601)106204300 / (DE-588)4044779-0 / Partielle Differentialgleichung / gnd
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| 653 |
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|a MATHEMATICS / Applied / bisacsh
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| 653 |
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|a Elliptische Differentialgleichung
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| 653 |
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|a Point Sources
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| 653 |
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|a Inverse Problems
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| 653 |
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|a Spectral-Analytical
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| 653 |
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|a String Equation
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| 653 |
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|a Discrete Inverse Problems
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| 653 |
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|a Inverses Problem
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| 653 |
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|a Partial Differential Equations
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| 653 |
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|a Mixed
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| 653 |
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|a (DE-601)105742260 / (DE-588)4125161-1 / Inverses Problem / gnd
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| 653 |
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|a Elliptic
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| 653 |
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|a Inverse problems (Differential equations) / Numerical solutions
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| 653 |
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|a Elliptic-Hyperbolic
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| 653 |
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|a Differential Equations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
0 |
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|a Inverse and Ill-Posed Problems Series
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| 500 |
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|a Mode of access: Internet via World Wide Web
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| 028 |
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|a 10.1515/9783110944983
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|t DGBA Backlist Mathematics English Language 2000-2014
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| 773 |
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|t DGBA Backlist Complete English Language 2000-2014 PART1
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| 773 |
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|t DGBA Mathematics 2000 - 2014
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| 856 |
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|u https://www.degruyter.com/doi/book/10.1515/9783110944983?nosfx=y
|x Verlag
|3 Volltext
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|a 242
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| 520 |
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|a Inverse problems are an important and rapidly developing direction in mathematics, mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monograph direct and inverse problems for partial differential equations are considered. The type of equations focused are hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination of medium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of research of all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined
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