论文标题

在两个或多个空间维度中半线性进展波的相互作用

Interactions of Semilinear Progressing Waves in Two or More Space Dimensions

论文作者

Barreto, Antonio Sa

论文摘要

我们表明,三个横向半线性角孔波相互作用后形成了奇异性。我们的结果适用于两个及以上的空间维度,以及任意平滑的非线性。作者和Yiran Wang研究了非线性是多项式的两个空间维度的情况。

We show that singularities form after the interaction of three transversal semilinear conormal waves. Our results hold for space dimensions two and higher, and for arbitrary smooth nonlinearity. The case of two space dimensions in which the nonlinearity is a polynomial was studied by the author and Yiran Wang.

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