Upper bounds for the life span of solutions to systems of nonlinear wave equations in two and three space dimensions
Upper bounds for the life span of solutions to systems of nonlinear wave equations in two and three space dimensions
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二维和三维空间非线性波动方程组解的寿命上限
DOI：
10.1016/0362-546x(94)00155-b
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发表时间：
1995
影响因子：
1.4
通讯作者：
M. Rammaha
中科院分区：
文献类型：
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作者：
M. Rammaha
对于Hilbert空间中具有相关齐次初始数据的非线性波动方程u tt-Nu+ G (t, u, u t)=，我们展示了一个形式为∫0 t∥G (τ, u, u τ)∥2dτ≤κ∫0 t∥(τ)∥2dτ的先验界如何在∥∥…
For the nonlinear wave equationu tt-Nu+ G (t, u, u t)= ℱ in Hilbert space, with associated homogeneous initial data, we show how ana priori bound of the form∫ 0 T∥ G (τ, u, u τ)∥ 2 dτ≤ κ∫ 0 T∥ ℱ (τ)∥ 2 dτ leads to upper and lower bounds for∥ u∥ in terms of∥ ℱ∥...