E-Book, Englisch, 560 Seiten
Freidlin Functional Integration and Partial Differential Equations
1. Auflage 2016
ISBN: 978-1-4008-8159-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, 560 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8159-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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
