| Seminar information archive -05/16 | Future seminars 05/17- | Seminars | Graduate School of Mathematical Sciences | Access |
10:30 - 11:30Room #056 (Mathematics building)
Xingfei Xiang (East China Normal University)
"$L^p$ Estimates of the Vector Fields and their Applications" (ENGLISH)
For $1< p < \infty$, the estimates of $W^{1,p}$ norm of the vector fields in bounded domains in $\mathbb R^3$ in terms of their divergence and curl have been well studied. In this talk, we shall present the $L^{{3}/{2}}$ estimates of vector fields with the $L^1$ norm of the $\curl$ in bounded domains. By a similar discussion, we establish the $L^p$ estimates of the vector fields for $1 < p < \infty$. As an application of the $L^p$ estimates, the Global $\dv-\curl$ lemma in Sobolev spaces of negative indices is given.