Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions
Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions
复制标题
DOI：
10.1007/s00220-014-1900-9
复制
发表时间：
2012-09
影响因子：
2.4
通讯作者：
J. Krieger;K. Nakanishi;W. Schlag
中科院分区：
文献类型：
--
作者：
J. Krieger;K. Nakanishi;W. Schlag
对于径向情况下的临界聚焦波动方程，我们建立了Krieger和Schlag （Am J Math 129(3):843 - 913,2007）在基态（W, 0）附近构建的“中心稳定”流形的作用，作为爆炸和散射到零之间的阈值，建立了一个可以追溯到bizoski等人（非线性17(6):2187 - 2201,2004）的数值工作的猜想。底层拓扑比能量范数更强。
For the critical focusing wave equationin the radial case, we establish the role of the “center stable” manifoldconstructed in Krieger and Schlag (Am J Math 129(3):843–913, 2007) near the ground state (W, 0) as a threshold between blowup and scattering to zero, establishing a conjecture going back to numerical work by Bizoń et al. (Nonlinearity 17(6):2187–2201, 2004). The underlying topology is stronger than the energy norm.