Biharmonic Functions on Riemannian Spaces with Applications to Elasticity.
CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS
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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
- Theoretical Mathematics