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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Second-Order Equations With Nonnegative Characteristic Form
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Second-Order Equations With Nonnegative Characteristic Form
O. Oleinik (Broschiert, Englisch)
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Beschreibung
Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years. An equation of the form (1) is termed an equation of second order with nonnegative characteristic form on a set G, kj if at each point x belonging to G… we have a (xHk~j ~ 0 for any vector ~ = (~l' ... '~m)' In equation (1) it is assumed that repeated indices are summed from 1 to m, and x = (x l' ••• , x ). Such equations are sometimes also called degenerating m elliptic equations or elliptic-parabolic equations. This class of equations includes those of elliptic and parabolic types, first order equations, ultraparabolic equations, the equations of Brownian motion, and others. The foundation of a general theory of second order equations with nonnegative characteristic form has now been established, and the purpose of this book is to pre sent this foundation. Special classes of equations of the form (1), not coinciding with the well-studied equations of elliptic or parabolic type, were investigated long ago, particularly in the paper of Picone [105], published some 60 years ago. 53,49 €
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Technische Daten
Erscheinungsdatum
30.04.2012
Sprache
Englisch
EAN
9781468489675
Herausgeber
Springer US
Sonderedition
Nein
Autor
O. Oleinik
Seitenanzahl
259
Einbandart
Broschiert
Schlagwörter
Brownian motion, Hilbert space, Smooth function, character, class, derivative, development, differential equation, equation, form, partial differential equation, pseudodifferential operator, set, types
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
Höhe
244 mm
Breite
17 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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