Well-posedness of the Cauchy problem for the fractional power dissipative equations
| dc.creator | Miao, Changxing | |
| dc.creator | Yuan, Baoquan | |
| dc.creator | Zhang, Bo | |
| dc.date | 2006-07-19 | |
| dc.date | 2006-08-16 | |
| dc.date.accessioned | 2026-07-07T10:08:35Z | |
| dc.date.available | 2026-07-07T10:08:35Z | |
| dc.description | This paper studies the Cauchy problem for the nonlinear fractional power dissipative equation $u_t+(-\triangle)^αu= F(u)$ for initial data in the Lebesgue space $L^r(\mr^n)$ with $\ds r\ge r_d\triangleq{nb}/({2α-d})$ or the homogeneous Besov space $\ds\dot{B}^{-σ}_{p,\infty}(\mr^n)$ with $\dsσ=(2α-d)/b-n/p$ and $1\le p\le \infty$, where $α>0$, $F(u)=f(u)$ or $Q(D)f(u)$ with $Q(D)$ being a homogeneous pseudo-differential operator of order $d\in[0,2α)$ and $f(u)$ is a function of $u$ which behaves like $|u|^bu$ with $b>0$. | |
| dc.description | 30pages | |
| dc.identifier | https://arxiv.org/abs/math/0607456 | |
| dc.identifier | http://arxiv.org/abs/math/0607456 | |
| dc.identifier | Nonlinear Analysis 68(2008)461-484 | |
| dc.identifier | doi:10.1016/j.na.2006.11.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171048 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K05, 35K15 | |
| dc.title | Well-posedness of the Cauchy problem for the fractional power dissipative equations | |
| dc.type | text |