{"product_id":"9781468489675","title":"Second-Order Equations With Nonnegative Characteristic Form","description":"\u003ch1\u003eSecond-Order Equations With Nonnegative Characteristic Form\u003c\/h1\u003e \u003ch2\u003eOleinik, O.\u003c\/h2\u003e \u003cp\u003eSecond 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-04-30\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781468489675\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4684-8965-1\u003c\/p\u003e \u003cp\u003eDimensions: 244cm x170cm\u003c\/p\u003e \u003cp\u003ePages: 259\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":44479043534988,"sku":"9781468489675","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781468489675.jpg?v=1775821898","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781468489675","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}