三维空间中半线性波动方程组的整体解和自相似解

叶耀军;

数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 927-940.

数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 927-940. DOI: 10.12386/A2006sxxb0115
论文

三维空间中半线性波动方程组的整体解和自相似解

    叶耀军;
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Global and Self-Similar Solutions for Systems of Semilinear Wave Equations in Three Space Dimensions

    Yao Jun YE
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摘要

本文证明了一类半线性波动方程组Cauchy问题整体解的存在唯一性.特别地,证明了自相似解的存在唯一性.同时还得到了渐近自相似解.

Abstract

In this paper we prove the existence and uniqueness for the global solutions of the Cauchy problem of the coupled system of semilinear wave equations. In particular, we show the existence and uniqueness of self-similar solutions. Also, we build some asymptotically self-similar solutions.

关键词

整体解 / 半线性波动方程组 / Cauchy问题

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叶耀军;. 三维空间中半线性波动方程组的整体解和自相似解. 数学学报, 2006, 49(4): 927-940 https://doi.org/10.12386/A2006sxxb0115
Yao Jun YE. Global and Self-Similar Solutions for Systems of Semilinear Wave Equations in Three Space Dimensions. Acta Mathematica Sinica, Chinese Series, 2006, 49(4): 927-940 https://doi.org/10.12386/A2006sxxb0115

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