A smoothing property of Schrödinger equations along the sphere
A smoothing property of Schrödinger equations along the sphere
复制标题
薛定谔方程沿球面的平滑特性
DOI：
10.1007/bf02893075
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
M. Sugimoto
中科院分区：
文献类型：
--
作者：
M. Sugimoto
L2（Rt 2 Rnx）Ck ′ kL 2（Rn）;（2）其中在n = 3的情况下0< 1= 2，在n= 2的情况下0<< 1= 2。Sugimoto [5]将这一结果推广到了n2情形下的10 n = 2<< 1= 2.对于不等式（2）是否能成立的问题，Hoshiro [2]证明了在n3和0< 1= 2的情况下，jxj 011 = 20 jDxju
L2 (Rt2Rnx) Ck'kL2 (Rn);(2) where 0< 1= 2 in the case n 3 and 0<< 1= 2 in the case n= 2. This result has been extended to the case 1 0n= 2<< 1= 2 in the case n 2 by Sugimoto [5]. As for the problem whether we can obtain the inequality (2) with= 1= 2, Hoshiro [2] proved, in the case n 3 and 0< 1= 2, jxj 01 1= 20 jDxj u