Description

Book Synopsis

This book considers problems arising the theory of differential equations. This book is not only intended for mathematicians specializing in the theory of differential equations or in probability theory but also for specialists in asymptotic methods and functional analysis.



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

Functional Integration and Partial Differential

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      Book details

      Publisher Princeton University Press
      Published 21 August 1985
      ISBN-13 9780691083629
      978-0691083629
      ISBN-10 0691083622

      Description

      Book Synopsis

      This book considers problems arising the theory of differential equations. This book is not only intended for mathematicians specializing in the theory of differential equations or in probability theory but also for specialists in asymptotic methods and functional analysis.



      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

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