论文标题
非辐射溶液对波方程的渐近行为
Asymptotic behaviour of non-radiative solution to the wave equations
论文作者
论文摘要
在这项工作中,我们考虑了对线性和非线性波方程的微弱非辐射溶液。我们首先表征了所有弱非辐射的自由波,而没有径向假设。然后,在维度3中,我们表明,非辐射溶液对广泛的非线性波方程的初始数据与在渐近行为方面的非辐射自由波相似。
In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial assumption. Then in dimension 3 we show that the initial data of non-radiative solutions to a wide range of nonlinear wave equations are similar to those of non-radiative free waves in term of asymptotic behaviour.