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Erratum: Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations
SIAM Journal on Applied Dynamical Systems ( IF 2.1 ) Pub Date : 2021-03-30 , DOI: 10.1137/20m1385603
Matthieu Alfaro , Arnaud Ducrot , Grégory Faye

SIAM Journal on Applied Dynamical Systems, Volume 20, Issue 1, Page 571-572, January 2021.
We are very grateful to Grégoire Nadin for bringing the following issue in the work of Alfaro, Ducrot, and Faye [SIAM J. Appl. Dyn. Syst., 19 (2020), pp. 1291--1311] to our attention: since it lacks regularity, the function $w = w(t, x)$ defined in (3.5) cannot be the solution to the reaction-diffusion equation (3.2). Nevertheless, by replacing Assumption 1.1 in Alfaro, Ducrot, and Faye [SIAM J. Appl. Dyn. Syst., 19 (2020), pp. 1291--1311] by a slightly stronger assumption, our results remain valid.


中文翻译:

勘误:反应扩散方程中传播阈值现象的定量估计

SIAM应用动力系统杂志,第20卷,第1期,第571-572页,2021年1月。
我们非常感谢GrégoireNadin将以下问题纳入Alfaro,Ducrot和Faye的工作。达因 Syst。,19(2020),pp.1291--1311]:由于它缺乏规则性,因此(3.5)中定义的函数$ w = w(t,x)$不能作为反应扩散的解决方案等式(3.2)。然而,通过取代Alfaro,Ducrot和Faye中的假设1.1,[SIAM J. Appl。达因 Syst。,19(2020),pp.1291--1311]。
更新日期:2021-03-31
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