论文标题
非线性临界规则性的相互作用在半线性阻尼波方程的弱耦合系统中
The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations
论文作者
论文摘要
我们想研究一个半线性经典阻尼波方程的弱耦合系统，其能力属于$ p-q $平面中的临界曲线的非线性中的模量。本文的主要目的是找出这些连续性模量的鲜明条件，这些模量在全球（及时）存在小型数据解决方案的存在与解决方案的有限时间爆破之间进行了分类。
We would like to study a weakly coupled system of semi-linear classical damped wave equations with moduli of continuity in nonlinearities whose powers belong to the critical curve in the $p-q$ plane. The main goal of this paper is to find out the sharp conditions of these moduli of continuity which classify between global (in time) existence of small data solutions and finite time blow-up of solutions.
