A semilinear Mckean-Vlasov stochastic evolution equation in Hilbert space
This paper deals with a semilinear stochastic equation in a real Hilbert space and formulates a related McKean-Vlasov type measure-valued evolution equation. It is shown that the stochastic equation has a unique mild solution such that the corresponding probability law is the unique measure-valued solution of McKean-Vlasov evolution equation.
Year of publication: |
1995
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Authors: | Ahmed, N. U. ; Ding, X. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 60.1995, 1, p. 65-85
|
Publisher: |
Elsevier |
Keywords: | McKean-Vlasov processes Semigroup Stochastic evolution equations |
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