Peer-Reviewed Journal Details
Mandatory Fields
Fagnola, Franco ; Wills, Stephen J. ;
2000
January
Electronic Communications In Probability
Mild solutions of quantum stochastic differential equations
Published
()
Optional Fields
mild solution; quantum stochastic; stochastic differential equation
5
158
171
We introduce the concept of a mild solution for the right Hudson-Parthasarathy quantum stochastic differential equation, prove existence and uniqueness results, and show the correspondence between our definition and similar ideas in the theory of classical stochastic differential equations. The conditions that a process must satisfy in order for it to be a mild solution are shown to be strictly weaker than those for it to be a strong solution by exhibiting a class of coefficient matrices for which a mild unitary solution can be found, but for which no strong solution exists.
1083-589X
https://doi-org.ucc.idm.oclc.org/10.1214/ECP.v5-1029
Grant Details