欧几里得空间中时滞热点的运动
Movement of time-delayed hot spots in Euclidean space
摘要：
研究了一类阻尼波动方程柯西问题解的形状。特别地，我们研究了解的空间极大值的存在性、位置和个数。研究了阻尼波动方程解的形状，给出了解的热部分和波部分的分解形式。此外，作为它的另一个应用，我们给出了解的$L^p$-$L^q$估计.
英文摘要：
We investigate the shape of the solution of the Cauchy problem for the damped wave equation. In particular, we study the existence, location and number of spatial maximizers of the solution. Studying the shape of the solution of the damped wave equation, we prepare a decomposed form of the solution into the heat part and the wave part. Moreover, as its another application, we give $L^p$-$L^q$ estimates of the solution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
