Title
Large-Time Behavior for Viscous and Nonviscous Hamilton--Jacobi Equations Forced by Additive Noise
Abstract
We study the large-time behavior of the solutions to viscous and nonviscous Hamilton-Jacobi equations with additive noise and periodic spatial dependence. Under general structural conditions on the Hamiltonian, we show the existence of unique up to constants, global-in-time solutions, which attract any other solution.
Year
DOI
Venue
2005
10.1137/040611896
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
Hamilton-Jacobi equations with additive noise,large-time behavior,Lipschitz regularity for Hamilton-Jacobi equations
Spatial dependence,Mathematical optimization,Hamiltonian (quantum mechanics),Hamilton–Jacobi equation,Mathematical analysis,Viscosity,Periodic graph (geometry),Mathematics,Hamilton jacobi
Journal
Volume
Issue
ISSN
37
3
0036-1410
Citations 
PageRank 
References 
1
0.63
2
Authors
2
Name
Order
Citations
PageRank
Nicolas Dirr143.26
Panagiotis E. Souganidis293.62