Nonlocal problems for some partial differential equations

Abstract

Abstract Nonlocal problems for polyharmonic functions and for a special third order system in a half plane are studied which have applications in elasticity. Some of them are solved explicitly on the basis of solutions to related classical problems, others are reduced to the RlEMANN problem for serveral holomorphic functions.

Keywords:

• Weiner-Hopf equation
• Riemann problem
• polyharmonic functions
• holomorphic functions
• Fourier transform

AMS:

• 35G15
• 31B30
• 45E10
• 30E25