Affine Variant of Fractional Sobolev Space with Application to Navier-Stokes System
| dc.creator | Xiao, Jie | |
| dc.date | 2006-08-23 | |
| dc.date.accessioned | 2026-07-07T07:22:04Z | |
| dc.date.available | 2026-07-07T07:22:04Z | |
| dc.description | It is proved that for $α\in (0,1)$, $Q_α(\rn)$, not only as an intermediate space of $W^{1,n}(\rn)$ and $BMO(\rn)$ but also as an affine variant of Sobolev space $\dot{L}^{2}_α(\rn)$ which is sharply imbedded in $L^{\frac{2n}{n-2α}}(\rn)$, is isomorphic to a quadratic Morrey space under fractional differentiation. At the same time, the dot product $\nabla\cdot\big(Q_α(\rn)\big)^n$ is applied to derive the well-posedness of the scaling invariant mild solutions of the incompressible Navier-Stokes system in $\bn=(0,\infty)\times\rn$. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608578 | |
| dc.identifier | http://arxiv.org/abs/math/0608578 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115529 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K; 42; 46E | |
| dc.title | Affine Variant of Fractional Sobolev Space with Application to Navier-Stokes System | |
| dc.type | text |