论文标题

非线性波方程的一般理论之外,一个空间维度的组合效应

The combined effect in one space dimension beyond the general theory for nonlinear wave equations

论文作者

Morisawa, Katsuaki, Sasaki, Takiko, Takamura, Hiroyuki

论文摘要

在本文中,我们显示了一个空间维度中半线性波方程的两种不同类型的非线性项的所谓“组合效应”。这种特殊现象仅在初始速度的总积分为零的情况下才出现。值得注意的是,包括效应案例在内,我们对寿命估计的结果部分优于非线性波方程的一般理论。

In this paper, we show the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Such a special phenomenon appears only in the case that the total integral of the initial speed is zero. It is remarkable that, including the combined effect case, our results on the lifespan estimates are partially better than those of the general theory for nonlinear wave equations.

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