Schauder estimates for solutions to boundary value problems for second order elliptic systems in polyhedral domains

Abstract

Boundary value problems for second order elliptic differential equations and systems in a polyhedral domain are considered. The authors prove Schauder estimates and obtain regularity assertions for the solutions.

Keywords:

• Second order elliptic systems
• Nonsmooth domains
• Lamé system
• Mathematics Subject Classifications (1991): 35J25
• 35J55
• 35C15
• 35Q72

Notes

^†E-mail: [email protected]

Additional information

Notes on contributors

J. Rossmann †

†E-mail: [email protected]