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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Convex Analysis and Nonlinear Geometric Elliptic Equations
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Convex Analysis and Nonlinear Geometric Elliptic Equations
Ilya J. Bakelman (Gebundene Ausgabe, Englisch)
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Beschreibung
Investigations in modem nonlinear analysis rely on ideas, methods and prob lems from various fields of mathematics, mechanics, physics and other applied sciences. In the second half of the twentieth century many prominent, ex emplary problems in nonlinear analysis were subject to intensive study and examination. The united ideas and methods of differential geometry, topology, differential… equations and functional analysis as well as other areas of research in mathematics were successfully applied towards the complete solution of com plex problems in nonlinear analysis. It is not possible to encompass in the scope of one book all concepts, ideas, methods and results related to nonlinear analysis. Therefore, we shall restrict ourselves in this monograph to nonlinear elliptic boundary value problems as well as global geometric problems. In order that we may examine these prob lems, we are provided with a fundamental vehicle: The theory of convex bodies and hypersurfaces. In this book we systematically present a series of centrally significant results obtained in the second half of the twentieth century up to the present time. Particular attention is given to profound interconnections between various divisions in nonlinear analysis. The theory of convex functions and bodies plays a crucial role because the ellipticity of differential equations is closely connected with the local and global convexity properties of their solutions. Therefore it is necessary to have a sufficiently large amount of material devoted to the theory of convex bodies and functions and their connections with partial differential equations. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.11.1994
Sprache
Englisch
EAN
9783540136200
Herausgeber
Springer Berlin
Sonderedition
Nein
Autor
Ilya J. Bakelman
Seitenanzahl
510
Einbandart
Gebundene Ausgabe
Schlagwörter
Monge-ampere equations, maximum, nicht-lineare Monge-Ampere Gleichungen, Convex analysis, curvature, nonlinear, calculus, Differentialgleichungen zweiter Ordnung, differential equation, eliptic partial differential equations
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBMP - Differentielle und Riemannsche Geometrie
PHU - Mathematische Physik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
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