Second Order Equations with Nonnegative Characteristic Form

Oleinik, O.A. and Radkevic, E.V.

ISBN 10: 0306307510 / ISBN 13: 9780306307515

Published by American Mathematical Society, 1973

About this Item

Translated from the Russian by Paul C. Fife. 259 pages. Ex-library marks, moderate wear and yellowing; a sound binding; good overall. Quantity Available: 1. Category: Mathematics; ISBN: 0306307510. ISBN/EAN: 9780306307515. Inventory No: 230396.

Seller Inventory # 230396

Bibliographic Details

• Title: Second Order Equations with Nonnegative Characteristic Form
• Publisher: American Mathematical Society
• Publication Date: 1973
• Language: English
• ISBN 10: 0306307510
• ISBN 13: 9780306307515
• Binding: Hardcover
• Condition: Good
• Dust Jacket Condition: No Dust Jacket
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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.

Language Notes

Text: English, Russian (translation)