具有平流项和低阶项的椭圆方程很弱解的局部高阶可积性  

Local higher order integrability of very weak solutions for elliptic equations with advection and low-order terms

作　　者：徐秀娟 沈毅 佟玉霞 XU Xiujuan;SHEN Yi;TONG Yuxia(College of Science,North China University of Science and Technology,Tangshan 063210,Hebei China;Hebei Key Laboratory of Data Science and Application,Tangshan 063210,Hebei China)

机构地区：[1]华北理工大学理学院,河北唐山063210 [2]河北省数据科学与应用重点实验室,河北唐山063210

出　　处：《中南民族大学学报(自然科学版)》2025年第2期283-288,共6页Journal of South-Central Minzu University(Natural Science Edition)

基　　金：河北省教育厅重点资助项目(ZD2022070)。

摘　　要：在可测条件下,选取适当的截断函数并利用Hodge分解定理,得到具有平流项和低阶项的非齐次A-调和方程很弱解的局部高阶可积性,从而推广了相关文献中的有关结果.Under measurable conditions,appropriate truncation functions were selected and Hodge decomposition theorem was used.The local higher order integrability results for very weak solutions to non-homogeneous A-harmonic equations with advection and low order terms were obtained.The results generalized the corresponding results in related literatures.

关 键 词：平流项 低阶项 很弱解 HODGE分解 高阶可积性 

分 类 号：O175.25[理学—数学]