Stochastic differential equations theory and applications

✍ Scribed by Peter H. Baxendale, Peter H. Baxendale; Sergey V. Lototsky

• Publisher: World Scientific Publishing Company
• Year: 2007
• Tongue: English
• Leaves: 416
• Series: Interdisciplinary Mathematical Sciences
• Edition: illustrated edition
• Category: Library

✦ Synopsis

This volume consists of 15 articles written by experts in stochastic analysis. The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations (SPDEs) and continues to attract the attention of mathematicians of all generations. Together with a short but thorough introduction to SPDEs, it presents a number of optimal, and essentially unimprovable, results about solvability for a large class of both linear and non-linear equations. The other papers in this volume were specially written for the occasion of Prof Rozovskii s 60th birthday. They tackle a wide range of topics in the theory and applications of stochastic differential equations, both ordinary and with partial derivatives.