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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Integral Geometry and Inverse Problems for Hyperbolic Equations
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Integral Geometry and Inverse Problems for Hyperbolic Equations
V. G. Romanov (Gebundene Ausgabe, Englisch)
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Beschreibung
There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an equation is given and one looks for its solution under initial and boundary conditions. Although… inverse problems are often ill-posed in the classical sense, their practical importance is such that they may be considered among the pressing problems of current mathematical re search. A. N. Tihonov showed [82], [83] that there is a broad class of inverse problems for which a particular non-classical definition of well-posed ness is appropriate. This new definition requires that a solution be unique in a class of solutions belonging to a given subset M of a function space. The existence of a solution in this set is assumed a priori for some set of data. The classical requirement of continuous dependence of the solution on the data is retained but it is interpreted differently. It is required that solutions depend continuously only on that data which does not take the solutions out of M. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.07.1974
Sprache
Englisch
EAN
9783540064299
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Springer Tracts in Natural Philosophy
Sonderedition
Nein
Autor
V. G. Romanov
Seitenanzahl
154
Einbandart
Gebundene Ausgabe
Bandzählung
26
Schlagwörter
Integralgeometrie, function space, Hyperbolic Equations, Integral, Partielle Differentialgleichung, differential equation, geometry, equation
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
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