Invariant Manifolds for Weak Solutions to Stochastic Equations
نویسنده
چکیده
Viability and invariance problems related to a stochastic equation in a Hilbert space H are studied. Finite dimensional invariant C submanifolds of H are characterized. We derive Nagumo type conditions and prove a regularity result: Any weak solution, which is viable in a finite dimensional C submanifold, is a strong solution. These results are related to finding finite dimensional realizations for stochastic equations. There has recently been increased interest in connection with a model for the stochastic evolution of forward rate curves.
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