A Global Existence Theorem for Semilinear Wave Equations in Five Space Dimension
五维空间中半线性波动方程整体解的存在性定理(英文)
摘要
This paper concerns the global existence of solutions to the semi-linear wave equation utt-△u = G(u) in five space dimensions, where G(u) -|u|p with p > 3+17^(1/17). We used the classical iteration method and technique estimates to show that a classical global solution exists for the radially symmetric equations with small and compact supported initial data.
本文研究五维空间中半线性波动方程utt-△u=G（u）整体解的存在性,其中G（u）～|u|p并且p>（3+17~(1/17））/4.利用经典的迭代方法证明了:如果初始值很小并且紧支的,径向对称方程有一个经典整体解.
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