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Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three
About this Title
Robert C. Dalang and Marta Sanz-Solé
Publication: Memoirs of the American Mathematical Society
Publication Year:
2009; Volume 199, Number 931
ISBNs: 978-0-8218-4288-1 (print); 978-1-4704-0537-3 (online)
DOI: https://doi.org/10.1090/memo/0931
MathSciNet review: 2512755
MSC: Primary 60H15; Secondary 35R60, 60J45
Table of Contents
Chapters
- Chapter 1. Introduction
- Chapter 2. The fundamental solution of the wave equation and the covariance function
- Chapter 3. Hölder-Sobolev regularity of the stochastic integral
- Chapter 4. Path properties of the solution of the stochastic wave equation
- Chapter 5. Sharpness of the results
- Chapter 6. Integrated increments of the covariance function