Functional Integration and Partial Differential Equations. (AM-109), Volume 109

by Mark Iosifovich Freidlin

Overview

This book discusses some aspects of the theory of partial differential equations from the viewpoint of probability theory. It is intended not only for specialists in partial differential equations or probability theory but also for specialists in asymptotic methods and in functional analysis. It is also of interest to physicists who use functional integrals in their research. The work contains results that have not previously appeared in book form, including research contributions of the author.

Product Details

ISBN-13:	9781400881598
Publisher:	Princeton University Press
Publication date:	03/02/2016
Series:	Annals of Mathematics Studies , #109
Sold by:	Barnes & Noble
Format:	eBook
Pages:	560
File size:	25 MB
Note:	This product may take a few minutes to download.

Table of Contents

• Frontmatter, pg. i
• CONTENTS, pg. v
• PREFACE, pg. viii
• INTRODUCTION, pg. 1
• I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS, pg. 16
• II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS, pg. 117
• III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM, pg. 184
• IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS, pg. 264
• V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM, pg. 352
• VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION, pg. 395
• VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA, pg. 478
• LIST OF NOTATIONS, pg. 531
• REFERENCES, pg. 534
• Backmatter, pg. 546