超越指数增长的热扩散系统的统一界

中文摘要 AI 辅助

本文证明了在全空间具有有界非负初值的热扩散系统解的全局时间统一界。该结果允许指数反应速率以及由扩散系数确定的一类超指数速率。这扩展了La、Roquejoffre和Ryzhik \cite{LRR24}以及Leontev和Ryzhik \cite{LR26}的最新结果，超越了其严格次指数范围。

英文摘要

In this paper, we prove a global-in-time uniform bound for solutions to a thermo-diffusive system in the whole space with bounded nonnegative initial data. The result allows exponential reaction rates and a range of superexponential rates determined by the diffusivities. This extends the recent results of La, Roquejoffre, and Ryzhik \cite{LRR24} and of Leontev and Ryzhik \cite{LR26} beyond their strictly subexponential range.

发表机构

• University of Oklahoma（俄克拉荷马大学）

机构由 AI 辅助整理，请以论文原文为准。