Stochastic Infinity-Laplacian equation and One-Laplacian equation in image processing and mean curvature flows: finite and large time behaviours

The existence of pathwise stationary solutions of this stochastic partial differential equation (SPDE, for abbreviation) is demonstrated. In Part II, a connection between certain kind of state constrained controlled Forward-Backward Stochastic Differential Equations (FBSDEs) and Hamilton-Jacobi-Bell...

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Bibliographic Details

Main Author:	Fajin Wei
Format:	Default Thesis
Published:	2010
Subjects:	Other mathematical sciences not elsewhere classified Solutions Stochastic partial differential equations Infinity-Laplacian Random dynamical systems Pathwise stationary Viscosity solutions Backward stochastic differential equations Hamilton-Jacobi-Bellman equations Mean curvature flows Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/7345
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