Functional integration and partial differential equations

Author(s)

• Freĭdlin, M. I. (Mark Iosifovich)

Bibliographic Information

Functional integration and partial differential equations

by Mark Freidlin

（Annals of mathematics studies, no. 109）

Princeton University Press, 1985

• : pbk

Note

Bibliography: p. 534-545

Description and Table of Contents

Volume

ISBN 9780691083544

Description

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.

Volume

: pbk ISBN 9780691083629

Description

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.

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

by "Nielsen BookData"

Details

• NCID: BA00524559
• ISBN:
  • 0691083541
  • 0691083622
• LCCN: 84042874
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Princeton, N.J.
• Pages/Volumes: ix, 545 p.
• Size: 24 cm
• Classification:
  • LCC : QA377
  • DC19 : 515.3/53
  • NDC8 : 410.5
  • NDC8 : 413.63
• Subject Headings:
  • LCSH : Differential equations, Partial
  • LCSH : Probabilities
  • LCSH : Integration, Functional
  • NDLSH : 偏微分方程式
  • NDLSH : 確率論
• Parent Bibliography ID:
  • BA00300336