A Uniform Bound for Solutions to a Thermo-diffusive System

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发表日期：

2024年10月4日

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Joonhyun La,
Jean-Michel Roquejoffre,
Lenya Ryzhik

摘要

We obtain uniform in time $L^\infty $ $L^{\infty}$ -bounds for the solutions to a class of thermo-diffusive systems. The nonlinearity is assumed to be at most sub-exponentially growing at infinity and have a linear behavior near zero.