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arXiv:0806.1902 [math.AP]AbstractReferencesReviewsResources

Transport equation: extension of classical results for div $b\in$ BMO

Piotr B. Mucha

Published 2008-06-11Version 1

We investigate the transport equation: $u_t+b \cdot \nabla u=0$. Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: $\div b \in L_\infty$ by $\div b \in BMO$.

Categories: math.AP, math-ph, math.MP
Subjects: 35F05, 35F10
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