Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
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DOI：
10.1090/s0002-9947-01-02754-4
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发表时间：
2001-05
影响因子：
1.3
通讯作者：
H. A. Biagioni;F. Linares
中科院分区：
文献类型：
--
作者：
H. A. Biagioni;F. Linares
.研究了一类非线性Schr（cid：127）odinger微分方程的初值问题的不适定性.该结果意味着IVP的局部适定性的最佳结果是在HS（R）中; s（cid：21）1 = 2。它还表明，（IVP）相关的广义Benjamin-Ono方程的数据低于标度实际上是不适定的。
. Ill-posedness is established for the initial value problem (IVP) associated to the derivative nonlinear Schr(cid:127)odinger equation for data in H s ( R ), s < 1 = 2. This result implies that best result concerning local well-posedness for the IVP is in H s ( R ) ; s (cid:21) 1 = 2. It is also shown that the (IVP) associated to the generalized Benjamin-Ono equation for data below the scaling is in fact ill-posed.