典型文献
Zero Extension Problem for the Heat Equation
文献摘要：
In this paper we present a necessary and sufficient condition to guarantee that the zero-extended function of the solution for the heat equation in a smaller cylinder is still the solution of the corresponding extension problem in a larger cylinder.We prove the results under the frameworks of classical solutions,strong solutions and weak solutions.Moreover,we generalize these results to uniformly parabolic equations of divergence form.
文献关键词：
中图分类号：
作者姓名：
Ge Yang DU;Qiang XU;Shu Lin ZHOU
作者机构：
School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China;School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,P.R.China;LMAM,School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China
文献出处：
引用格式：
[1]Ge Yang DU;Qiang XU;Shu Lin ZHOU-.Zero Extension Problem for the Heat Equation)[J].数学学报（英文版）,2022(11):1981-1997
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AB值：
0.686263
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