Markov semi-groups generated by elliptic operators with divergence-free drift
In this paper we construct a conservative Markov semi-group with generator L =Δ +b ·∇on Rn, where bis a divergence-free vector field which belongs to L2∩Lpwith n2<p. The research is motivated by the question of understanding the blow-up solutions of the fluid dynamic equations, which attracts a l...
Main Authors: | Qian, Z, Xi, G |
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Format: | Journal article |
Language: | English |
Published: |
Elsevier
2021
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