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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

刘智慧 博士后, 香港理工大学

Inviter: 洪佳林
Title:
Well-posedness and Optimal Regularity of Stochastic Evolution Equations with Multiplicative Noises
Time & Venue:
2017.9.9 15:30-16:30 N702
Abstract:
In this paper, we prove the well-posedness and opti-mal regularity for the solution of stochastic evolution equations with Lipschitz-type coefficients driven by general multiplicative noises. To consider the well-posedness of the problem, the linear operator of the equations is only need to be a generator of a C0-semigroup and the proposed noises are quite general, which include space-time white noise and rougher noises. When the linear operator generates an analytic semigroup, we derive the optimal spatial and trajectory regularity of the solution through a generalized criterion by factorization method.
 

 

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