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

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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: $÷b \in L_\infty$ by $÷b \in BMO$.

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Analysis of PDEs, Mathematical Physics, 35F05,35F10

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http://salesiana.dossiersoluciones.com/handle/123456789/162715

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.1902
 http://arxiv.org/abs/0806.1902

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arXiv