Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures
classification
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keywords
formulashermitemeanornstein-uhlenbeckvalueassociatedderivediffusion
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We obtain explicit mean value formulas for the solutions of the diffusion equations associated with the Ornstein-Uhlenbeck and Hermite operators. From these, we derive various useful properties, such as maximum principles, uniqueness theorems and Harnack-type inequalities.
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