Interactions between the theory of partial differential equations of elliptic and parabolic types and the theory of stochastic processes are beneficial for both probability theory and analysis. At the beginning, mostly analytic results were used by probabilists. More recently, analysts (and physicis
Diffusion Processes and Partial Differential Equations
โ Scribed by Kazuaki Taira
- Publisher
- Academic Press
- Year
- 1988
- Tongue
- English
- Leaves
- 474
- Category
- Library
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โฆ Synopsis
This book provides a careful and accessible exposition of functional analytic methods in stochastic analysis. It focuses on the relationship between Markov processes and elliptic boundary value problems and explores several recent developments in the theory of partial differential equations which have made further progress in the study of Markov processes possible. This book will have great appeal to both advanced students and researchers as an introduction to three interrelated subjects in analysis (Markov processes, semigroups, and elliptic boundary value problems), providing powerful methods for future research.
โฆ Subjects
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