一类椭圆方程边值问题弱解的Calderón-Zygmund估计  

Calderón-Zygmund Estimates of Weak Solutions of Boundary Value Problems for a Class of Elliptic Equations

作　　者：康迪 沈毅 徐秀娟 KANG DI;SHEN YI;XU XIUJUAN(College of Science,North China University of Science and Technology,Tangshan 063210,China;Hebei Provincial Key Laboratory of Data Science and Application,Tangshan 063210,China)

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

出　　处：《应用数学学报》2024年第6期936-957,共22页Acta Mathematicae Applicatae Sinica

基　　金：河北省自然科学基金(A2019209533);河北省自然科学基金(E2022209110)资助项目。

摘　　要：该文主要研究一类具有变指数对数增长的椭圆方程边值问题,通过比较估计并利用迭代覆盖等方法,获得了该问题在非光滑区域上的全局Calderón-Zygmund估计,其中算子a满足某些合适的条件,给定的向量值函数满足适当的增长条件.In this paper,the global Calderón-Zygmund estimation of a class of elliptic equation boundary value problems with variable exponential logarithmic growth is concerned.By comparing estimates and utilizing methods such as iterative coverage,we obtain the global Calderón-Zygmund estimates of the problem in non-smooth regions,where operator satisfies some appropriate conditions and the given vector function satisfies appropriate growth conditions.

关 键 词：椭圆方程 边值问题 弱解 Calderón-Zygmund估计 

分 类 号：O175.25[理学—数学]