Article ID Journal Published Year Pages File Type
4620154 Journal of Mathematical Analysis and Applications 2009 14 Pages PDF
Abstract

In this paper we study a class of infinite horizon backward stochastic differential equations (BSDEs) of the formdY(t)=λY(t)dt−f(t,Y(t),Z(t))dt+Z(t)dW(t),0⩽t<∞, in a real separable Hilbert space, where λ is a given real parameter and the coefficient f is dissipative in y and Lipschitz in z. By Yosida approximation to dissipative mappings we show existence and uniqueness of the solutions for these equations. This result is applied to construct unique viscosity solutions to semilinear elliptic partial differential equations (PDEs).

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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