Zero Extension Problem for the Heat Equation

作     者：Ge Yang DU Qiang XU Shu Lin ZHOU Ge Yang DU;Qiang XU;Shu Lin ZHOU

作者机构：School of Mathematical SciencesPeking UniversityBeijing 100871P.R.China School of Mathematics and StatisticsLanzhou UniversityLanzhou 730000P.R.China LMAMSchool of Mathematical SciencesPeking UniversityBeijing 100871P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第11期

页      面：1981-1997页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSFC(Grant No.12071009) the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2019-21) 

主　　题：Heat equation zero extension initial-boundary value problem 

摘      要：In this paper we present a necessary and sufficient condition to guarantee that the zeroextended function of the solution for the heat equation in a smaller cylinder is still the solution of the corresponding extension problem in a larger *** prove the results under the frameworks of classical solutions,strong solutions and weak ***,we generalize these results to uniformly parabolic equations of divergence form.