H~ρ-Regularity for Elliptic Mixed Boundary Value Problem in a Polygon
Chuan Cheng · Hu'nan Shifan Daxue xuebao. Ziran kexue ban · 2003
The Regularity for an elliptic mixed boundary value problem in a polygon,Δu=f in Ω,u=0 on Γ1,un=0 on Γ2,is discussed,where the boundary Γ=Γ1+Γ2 and Γ1 is of positive measurability. If f∈L2(Ω),then the solution u∈H ρ(Ω),ρ=1+min(12α0,1β0)-e,e0,where α0π is the largest inner angle at conjunctive points between Γ1 and Γ2,and β0π is the largest inner angle at angular points inside Γ1 or Γ2.