论文标题
对弱耦合波方程的爆破改进,并具有比例不变的阻尼和质量和时间衍生化的非线性
Improvement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearity
论文作者
论文摘要
在本文中获得了爆炸区域的[18]对波动方程的弱耦合系统的寿命估计,并在本文中获得了不变的情况下的阻尼和质量,并具有时间衍生的非线性。确实,由于对解决方案的动态有了更好的了解,我们在这里对爆破区域进行了更好的描述。此外,本文中使用的技术可以扩展到其他系统,有趣的是,它们简化了[3]中爆炸结果的证明,这与本工作相同的上下文中与单波方程有关。
An improvement of [18] on the blow-up region and the lifespan estimate of a weakly coupled system of wave equations with damping and mass in the scale-invariant case and with time-derivative nonlinearity is obtained in this article. Indeed, thanks to a better understanding of the dynamics of the solutions, we give here a better characterization of the blow-up region. Furthermore, the techniques used in this article may be extended to other systems and interestingly they simplify the proof of the blow-up result in [3] which is concerned with the single wave equation in the same context as in the present work.