The Regularity of Solutions to Mixed Boundary Value Problems of Second-Order Elliptic Equations with Small Angles  

作　　者：Mingyu Wu Mingyu Wu(School of Mathematics, East China University of Science and Technology, Shanghai, China)

机构地区：[1]School of Mathematics, East China University of Science and Technology, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第4期1043-1049,共7页应用数学与应用物理（英文）

摘　　要：This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of sufficient regularity of boundary conditions and coefficients, as long as the angle is sufficiently small, the regularity of the solution to the mixed boundary value problem of the second-order elliptic equation can reach any order.This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of sufficient regularity of boundary conditions and coefficients, as long as the angle is sufficiently small, the regularity of the solution to the mixed boundary value problem of the second-order elliptic equation can reach any order.

关 键 词：Mixed Boundary Value Problems for Elliptic Equations Small-Angle Boundary Value Problems Regularity of Solutions to Elliptic Equations 

分 类 号：O17[理学—数学]