论文标题
fujita修饰的指数，用于刻度不变的半连接波动方程
Fujita modified exponent for scale invariant damped semilinear wave equations
论文作者
论文摘要
本文的目的是证明在径向初始数据的合适衰减条件下，在适当的衰减条件下，半线性尺度不变的波动方程的解决方案的爆炸结果。非线性项的功率的可接受范围既取决于阻尼系数，又取决于初始数据的点衰减顺序。此外，就非线性，大小和初始数据的增长的功能而言，我们给出了解决方案寿命的上限估计值。
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, in terms of the power of the nonlinearity, size and growth of initial data.
