Critical exponent for nonlinear damped wave equations with non-negative potential in 3D
Critical exponent for nonlinear damped wave equations with non-negative potential in 3D
复制标题
DOI：
10.1016/j.jde.2019.04.004
复制
发表时间：
2018-10
影响因子：
2.4
通讯作者：
V. Georgiev;H. Kubo;Kyouhei Wakasa
中科院分区：
文献类型：
--
作者：
V. Georgiev;H. Kubo;Kyouhei Wakasa
我们正在研究的阻尼系数的线性三维波动方程的次主部分的可能的相互作用和它们的影响，相应的非线性柯西问题的临界指数与小的初始数据。主要的新现象是，对于无阻尼系数的波动方程，这些系数之间的某种关系可能会导致三维的临界Strauss指数向5D的临界Strauss指数发生很强的跳跃。
We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients.