Second-Order Equations With Nonnegative Characteristic Form PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Second-Order Equations With Nonnegative Characteristic Form PDF full book. Access full book title Second-Order Equations With Nonnegative Characteristic Form by O. Oleinik. Download full books in PDF and EPUB format.
Author: O. Oleinik
Publisher: Springer Science & Business Media
ISBN: 1468489658
Category : Mathematics
Languages : en
Pages : 265
Get Book Here
Book Description
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.
Author: O. Oleinik
Publisher: Springer Science & Business Media
ISBN: 1468489658
Category : Mathematics
Languages : en
Pages : 265
Get Book Here
Book Description
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.
Author: O. A. Oleinik
Publisher:
ISBN: 9780608054629
Category :
Languages : en
Pages : 267
Get Book Here
Book Description
Author: O. Oleinik
Publisher:
ISBN: 9781468489668
Category :
Languages : en
Pages : 268
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
Get Book Here
Book Description
Author: O. A. Oleĭnik
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
Get Book Here
Book Description
Author: O.A. Oleinik
Publisher: CRC Press
ISBN: 1000725197
Category : Mathematics
Languages : en
Pages : 522
Get Book Here
Book Description
Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.
Author: A. V. Ivanov
Publisher: American Mathematical Soc.
ISBN: 9780821830802
Category : Mathematics
Languages : en
Pages : 306
Get Book Here
Book Description
Author: Joseph A. Ball
Publisher: Springer Science & Business Media
ISBN: 3034601611
Category : Mathematics
Languages : en
Pages : 447
Get Book Here
Book Description
This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Author: Dan Crisan
Publisher: Springer Science & Business Media
ISBN: 3642153585
Category : Mathematics
Languages : en
Pages : 303
Get Book Here
Book Description
Stochastic Analysis aims to provide mathematical tools to describe and model high dimensional random systems. Such tools arise in the study of Stochastic Differential Equations and Stochastic Partial Differential Equations, Infinite Dimensional Stochastic Geometry, Random Media and Interacting Particle Systems, Super-processes, Stochastic Filtering, Mathematical Finance, etc. Stochastic Analysis has emerged as a core area of late 20th century Mathematics and is currently undergoing a rapid scientific development. The special volume “Stochastic Analysis 2010” provides a sample of the current research in the different branches of the subject. It includes the collected works of the participants at the Stochastic Analysis section of the 7th ISAAC Congress organized at Imperial College London in July 2009.
Author: Shuichi Kawashima
Publisher: World Scientific
ISBN: 9789810233969
Category : Mathematics
Languages : en
Pages : 378
Get Book Here
Book Description
In the past two decades, there has been great progress in the theory of nonlinear partial differential equations. This book describes the progress, focusing on interesting topics in gas dynamics, fluid dynamics, elastodynamics etc. It contains ten articles, each of which discusses a very recent result obtained by the author. Some of these articles review related results.
