Fujita modified exponent for scale invariant damped semilinear wave equations
Fujita modified exponent for scale invariant damped semilinear wave equations
复制标题
尺度不变阻尼半线性波动方程的 Fujita 修正指数
DOI：
10.1007/s00028-021-00705-2
复制
发表时间：
2021
影响因子：
1.4
通讯作者：
S. Lucente
中科院分区：
文献类型：
--
作者：
F. A. Chiarello;G. Girardi;S. Lucente
本文的目的是证明半线性尺度不变阻尼波动方程在适当的径向初始数据衰减条件下解的爆破结果。非线性项幂的允许范围既取决于阻尼系数，也取决于初始数据的逐点衰减顺序。此外，我们给出了解的寿命的上界估计。它不仅取决于非线性项的指数，不仅取决于阻尼系数，还取决于初始数据衰减率的大小。
The aim of this paper is to prove a blow-up result of the solution for a semilinear scale invariant damped wave equation under a suitable decay condition on radial initial data. The admissible range for the power of the nonlinear term depends both on the damping coefficient and on the pointwise decay order of the initial data. In addition, we give an upper bound estimate for the lifespan of the solution. It depends not only on the exponent of the nonlinear term and not only on the damping coefficient but also on the size of the decay rate of the initial data.