TY - GEN T1 - Three classes of nonlinear stochastic partial differential equations A1 - Xiong, Jie LA - English PP - Hackensack New Jersey PB - World Scientific YR - 2013 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocn844311148 AB - The study of measure-valued processes in random environments has seen some intensive research activities in recent years whereby interesting nonlinear stochastic partial differential equations (SPDEs) were derived. Due to the nonlinearity and the non-Lipschitz continuity of their coefficients, new techniques and concepts have recently been developed for the study of such SPDEs. These include the conditional Laplace transform technique, the conditional mild solution, and the bridge between SPDEs and some kind of backward stochastic differential equations. This volume provides an introduction to these topics with the aim of attracting more researchers into this exciting and young area of research. It can be considered as the first book of its kind. The tools introduced and developed for the study of measure-valued processes in random environments can be used in a much broader area of nonlinear SPDEs. OP - 164 CN - QA274.25 .X57 2013eb SN - 9789814452366 SN - 981445236X SN - 9789814452359 SN - 9814452351 SN - 1299651844 SN - 9781299651845 KW - Stochastic partial differential equations. KW - Differential equations, Nonlinear. KW - Équations aux dérivées partielles stochastiques. KW - Équations différentielles non linéaires. KW - MATHEMATICS : Probability & Statistics : General. KW - Differential equations, Nonlinear KW - Stochastic partial differential equations ER -