English

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

Analysis of PDEs 2008-06-12 v1 Mathematical Physics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.0806.1902,
  title  = {Transport equation: extension of classical results for div $b\in$ BMO},
  author = {Piotr B. Mucha},
  journal= {arXiv preprint arXiv:0806.1902},
  year   = {2008}
}