Accession Number:

AD0723423

Title:

Biharmonic Functions on Riemannian Spaces with Applications to Elasticity.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1971-04-01

Pagination or Media Count:

92.0

Abstract:

In this report the author investigates biharmonic functions, that is, solutions of the elliptic partial differential equation Delta squared u O, establishing for them reproducing and extremal properties. Biharmonic principal functions are constructed and used to represent solutions of boundary value problems arising in the theory of the bending of thin plates. Author

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE