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

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

2008-06-11

arxiv.org/abs/0806.1902v1

Mathematics

Analysis of PDEs

Scientific paper

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 $\div b \in BMO$.

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