Accession Number:

ADA045729

Title:

Biharmonic and Potential Functions and Their Applications.

Descriptive Note:

Final rept. 1 Oct 70-15 Aug 77,

Corporate Author:

CALIFORNIA UNIV LOS ANGELES

Personal Author(s):

Report Date:

1977-09-01

Pagination or Media Count:

9.0

Abstract:

The following theories were systematically developed 1 Harmonic classification theory of Riemannian manifolds, 2 Quasiharmonic classification theory of Riemannian manifolds, 3 Theory of bounded biharmonic functions of Riemannian manifolds, 4 Dirichlet finite biharmonic functions, 5 Bounded Dirichlet finite biharmonic functions, 6 Riesz representation of biharmonic functions, 7 Greens functions of simply supported bodies, 8 Greens functions of clamped bodies. These theories were published in the 83 papers listed in Sections II-IV, and the research monograph described in Section V. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE