Existence Result to a Class of Parabolic Equations with Nonstandard Growth Condition and Zero Order Term  

作　　者：Zhongqing LI 

机构地区：[1]School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第4期467-476,共10页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11901131);the University-Level Research Fund Project in Guizhou University of Finance and Economics(Grant No.2022KYYB01)。

摘　　要：In the setting of variable exponent,an existence result to a class of parabolic equations with zero order term is proved.The proof of existence relies essentially on selecting some suitable test functions based upon the integrability of the source term and the zero order term simultaneously.By virtue of a priori estimates and some limit analyses,the weak limit of the nonlinear principal term is identified via the Young measures method.

关 键 词：nonstandard growth condition zero order term weak solutions 

分 类 号：O175.26[理学—数学]