Sharp well-posedness for the Benjamin equation |
| |
| Authors: | W Chen J Xiao |
| |
| Institution: | a Institute of Applied Physics & Computational Math, P.O. Box 8009, Beijing 100088, Chinab LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, Chinac Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7, Canada |
| |
| Abstract: | Having the ill-posedness in the range s<−3/4 of the Cauchy problem for the Benjamin equation with an initial Hs(R) data, we prove that the already-established local well-posedness in the range s>−3/4 of this initial value problem is extendable to s=−3/4 and also that such a well-posed property is globally valid for s∈−3/4,∞). |
| |
| Keywords: | primary 35Q53 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
