收缩Friedmann-Lema?tre-Robertson-Walk时空中半线性波动方程解的爆破
Blow-Up of Solutions of Semilinear Wave Equations in Shrinking Friedmann-Lema?tre-Robertson-Walk Spacetime
DOI: 10.12677/PM.2024.142046, PDF,   
作者: 雍梓凯, 李消月：浙江理工大学理学院，浙江 杭州
关键词: 爆破；生命跨度；半线性波动方程；Blow-Up； Lifespan； Semilinear Wave Equation
摘要: 本文主要研究收缩时空Friedmann-Lemaître-Robertson-Walk (FLRW)中半线性波动方程解的爆破分析，通过构造相应的积分不等式，得到了三类半线性波方程FLRW时空中解的爆破情况，并得到了解生命跨度的上限估计。
Abstract: This paper mainly studies the blow up phenomenon of the solutions of the semilinear wave equa-tions in Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. By constructing the suitable integral inequality, we can show that the solutions of the seminlienar wave equations considered in this paper will blow up in finite time, and the upper bound of the life span is also obtained.
文章引用：雍梓凯, 李消月. 收缩Friedmann-Lema?tre-Robertson-Walk时空中半线性波动方程解的爆破[J]. 理论数学, 2024, 14(2): 470-481. https://doi.org/10.12677/PM.2024.142046

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