The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights

The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights
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具有特征权的一维半线性波动方程经典解的寿命估计

DOI:
10.1016/j.jmaa.2023.127516
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发表时间:
2022
影响因子:
1.3
通讯作者:
Kyouhei Wakasa
Kyouhei Wakasa
中科院分区:
数学3区
文献类型:
--
作者:
Shunsuke Kitamura;H. Takamura;Kyouhei Wakasa

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本文研究了一维空间中具有特征权和紧支撑数据的半线性波动方程经典解的寿命估计。所得结果包括了按时间变量加权的结果,但在某些情况下排除了按空间变量加权的结果。我们有两个特征方向的相互作用。
In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension. The results include those for weights by time-variable, but exclude those for weights by space-variable in some cases. We have interactions of two characteristic directions.