Transport equation: extension of classical results for div bin BMO
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math-phmath.MP
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classicalequationtransportcdotconditioncriteriaextensionimproves
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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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