论文标题

波动方程的散射和渐近顺序,具有尺度不变的阻尼和质量

Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass

论文作者

Inui, Takahisa, Mizutani, Haruya

论文摘要

我们认为线性波方程与时间相关的尺度不变性阻尼和质量。我们还用临界非线性处理相应的方程。我们的目的是表明该溶液散射到修饰的线性波溶液中并获得其渐近顺序。

We consider the linear wave equation with the time-dependent scale-invariant damping and mass. We also treat the corresponding equation with the energy critical nonlinearity. Our aim is to show that the solution scatters to a modified linear wave solution and to obtain its asymptotic order.

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