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Interacting Hilbert Space Valued Stochastic Differential Equations and Propagation of Chaos

Authors :
NORTH CAROLINA UNIV AT CHAPEL HILL CENTER FOR STOCHASTIC PROCESSES
Kallianpur, G.
Karandikar, R. L.
NORTH CAROLINA UNIV AT CHAPEL HILL CENTER FOR STOCHASTIC PROCESSES
Kallianpur, G.
Karandikar, R. L.
Source :
DTIC AND NTIS
Publication Year :
1990

Abstract

Interacting Hilbert space valued stochastic differential equations are studied as an extension of Funaki's model for random strings to a system of interacting strings. The martingale problem for the corresponding McKean-Vlasov equation is solved. Special results when H = L squared (G), G, a bounded domain in real numbers are obtained. Keywords: Mathematical equations/models, Differential equations.

Details

Database :
OAIster
Journal :
DTIC AND NTIS
Notes :
text/html, English
Publication Type :
Electronic Resource
Accession number :
edsoai.ocn832079544
Document Type :
Electronic Resource