TITLE:
The Regularity of Solutions to Mixed Boundary Value Problems of Second-Order Elliptic Equations with Small Angles
AUTHORS:
Mingyu Wu
KEYWORDS:
Mixed Boundary Value Problems for Elliptic Equations, Small-Angle Boundary Value Problems, Regularity of Solutions to Elliptic Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.4,
April
11,
2024
ABSTRACT: 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.