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On classical solutions of stochastic parabolic equations
2018-09-12 00:00:00

This presentation concerns the regularity theory for stochastic parabolic equations/systems of second-order. To obtain classical solutions, our approach is to consider the equations in a kind of stochastic Hoelder spaces and to develop a new method of pointwise estimates. Besides the basic existence and uniqueness results, we also present some interesting properties and phenomena caused by stochastic terms, comparing to classical parabolic equations. This presentation is partially based on joint work with Dr. Jiakun Liu and Dr. Fu Zhang.