Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin.

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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1985
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 109
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Physical Description:1 online resource (560 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • PREFACE
  • INTRODUCTION
  • I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS
  • II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS
  • III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM
  • IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS
  • V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM
  • VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION
  • VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA
  • LIST OF NOTATIONS
  • REFERENCES
  • Backmatter