Global well-posedness of the critical Burgers equation in critical Besov spaces |
| |
Authors: | Changxing Miao Gang Wu |
| |
Institution: | a Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China b The Graduate School of China Academy of Engineering Physics, PO Box 2101, Beijing 100088, PR China |
| |
Abstract: | We make use of the method of modulus of continuity A. Kiselev, F. Nazarov, R. Shterenberg, Blow up and regularity for fractal Burgers equation, Dyn. Partial Differ. Equ. 5 (2008) 211-240] and Fourier localization technique H. Abidi, T. Hmidi, On the global well-posedness of the critical quasi-geostrophic equation, SIAM J. Math. Anal. 40 (1) (2008) 167-185] H. Abidi, T. Hmidi, On the global well-posedness of the critical quasi-geostrophic equation, SIAM J. Math. Anal. 40 (1) (2008) 167-185] to prove the global well-posedness of the critical Burgers equation t∂u+ux∂u+Λu=0 in critical Besov spaces with p∈1,∞), where . |
| |
Keywords: | 35K55 35Q53 |
本文献已被 ScienceDirect 等数据库收录! |
|