论文标题
在一个空间维度中具有特征权重的衍生品类型的半连续波方程
Semilinear wave equations of derivative type with characteristic weights in one space dimension
论文作者
论文摘要
在本文中，我们调查了一个在一个空间维度中具有特征权重的衍生物类型的初始值问题的经典解决方案的寿命估计值。这样的方程式为我们提供了将非线性波方程的一般理论扩展到非自治案例的基本原则。在我们的结果中，两个特征权重相互相互作用，并与未知函数本身的非线性术语本身的非线性术语产生不同的参数范围。
In this paper, we investigate the lifespan estimates of classical solutions of the initial value problems for semilinear wave equations of derivative type with characteristic weights in one space dimension. Such equations provide us basic principles on extending the general theory for nonlinear wave equations to the non-autonomous case. In our results, two characteristic weights interact with each others and produce a different range of parameters on the global-in-time existence from the nonlinear terms of unknown function itself.
