双曲空间上具有组合非线性项的半线性热方程Fujita指标的一个注记
A Note on the Fujita Exponent of a Semilinear Heat Equation with Combined Nonlinearities on the Hyperbolic Space
DOI: 10.12677/PM.2022.127133, PDF,   
作者: 林 珊：福建师范大学，福建 福州
关键词: 临界指标；爆破；全局存在；双曲空间；Critical Exponent； Blow-Up； Global Existence； Hyperbolic Space
摘要: 本文研究了在Hn上带有时间加权函数的半线性热方程的Fujita指标。文章将时间加权项的研究从两项扩展到了k重组合非线性项，并通过比较定理，对方程的Fujita指标给出了一个简单而统一的证明。
Abstract: In this short note, we study the Fujita exponent for a time-weighted semilinear heat equation on Hn. The results of this paper extend the time-weighted functions from two to k-multiple combined nonlinearities. We give a simple and unified proof for the Fujita exponent by the comparison theorem.
文章引用：林珊. 双曲空间上具有组合非线性项的半线性热方程Fujita指标的一个注记[J]. 理论数学, 2022, 12(7): 1217-1222. https://doi.org/10.12677/PM.2022.127133

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