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Second-Order Equations With Nonnegative Characteristic Form

Language EnglishEnglish
Book Paperback
Book Second-Order Equations With Nonnegative Characteristic Form O. Oleinik
Libristo code: 05258292
Publishers Springer-Verlag New York Inc., April 2012
Second order equations with nonnegative characteristic form constitute a new branch of the theory of... Full description
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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.

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About the book

Full name Second-Order Equations With Nonnegative Characteristic Form
Author O. Oleinik
Language English
Binding Book - Paperback
Date of issue 2012
Number of pages 259
EAN 9781468489675
ISBN 1468489674
Libristo code 05258292
Weight 466
Dimensions 171 x 246 x 21
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