POSITIVE CLASSICAL SOLUTIONS OF DIRICHLET PROBLEM FOR THE STEADY RELATIVISTIC HEAT EQUATION  

作　　者：杨田洁 袁光伟 Tianjie YANG;Guangwei YUAN(Graduate School of China Academy of Engineering Physics,Beijing 100088,China;Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing100088,China)

机构地区：[1]Graduate School of China Academy of Engineering Physics,Beijing 100088,China [2]Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing100088,China

出　　处：《Acta Mathematica Scientia》2023年第5期2279-2290,共12页数学物理学报（B辑英文版）

基　　金：supported by the National NaturalScience Foundation of China(11971069 and 12126307)。

摘　　要：In this paper,for a bounded C2 domain,we prove the existence and uniqueness of positive classical solutions to the Dirichlet problem for the steady relativistic heat equation with a class of restricted positive C2 boundary data.We have a non-existence result,which is the justification for taking into account the restricted boundary data.There is a smooth positive boundary datum that precludes the existence of the positive classical solution.

关 键 词：Dirichlet problem steady relativistic heat equation classical solution 

分 类 号：O175[理学—数学]