1.

Record Nr.

UNINA9910453889603321

Autore

Stroock Daniel W.

Titolo

Partial differential equations for probabalists [sic] / / Daniel W. Stroock [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2008

ISBN

1-107-18681-1

1-281-94470-X

9786611944704

0-511-45607-7

0-511-45738-3

0-511-45431-7

0-511-45336-1

0-511-75525-2

0-511-45535-6

Descrizione fisica

1 online resource (xv, 215 pages) : digital, PDF file(s)

Collana

Cambridge studies in advanced mathematics ; ; 112

Disciplina

515/.353

Soggetti

Differential equations, Partial

Differential equations, Parabolic

Differential equations, Elliptic

Probabilities

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references (p. 209-212) and index.

Nota di contenuto

Kolmogorov's forward, basic results -- Non-elliptic regularity results -- Preliminary elliptic regularity results -- Nash theory -- Localization -- On a manifold -- Subelliptic estimates and HoĢˆrmander's theorem.

Sommario/riassunto

This book deals with equations that have played a central role in the interplay between partial differential equations and probability theory. Most of this material has been treated elsewhere, but it is rarely presented in a manner that makes it readily accessible to people whose background is probability theory. Many results are given new proofs designed for readers with limited expertise in analysis. The author covers the theory of linear, second order, partial differential equations of parabolic and elliptic types. Many of the techniques have



antecedents in probability theory, although the book also covers a few purely analytic techniques. In particular, a chapter is devoted to the De Giorgi-Moser-Nash estimates, and the concluding chapter gives an introduction to the theory of pseudodifferential operators and their application to hypoellipticity, including the famous theorem of Lars Hormander.