Regularity of Finite-Dimensional Realizations for Evolution Equations

We show that a continuous local semiflow of Ck-maps on a finite- dimensional Ck-manifoldM can be embedded into a local Ck-flow on M under some weak (necessary) assumptions. This result is applied to an open problem in [2]. We prove that finite-dimensional realizations for interest rate models are highly regular objects, namely given by submanifolds M of D(A∞), where A is the generator of a strongly continuous semigroup


Published in:
Journal of Functional Analysis, 197, 433-446
Year:
2003
ISSN:
0022-1236
Laboratories:




 Record created 2010-04-25, last modified 2018-11-15

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