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(2003 / vol.6 / no.1)
Scalar boundary integral equation methods for the biharmonic equation
Youngmok Jeon
Pages. 127-133     



1. Derivation of scalr integral equations: interior problem
2. Uniqueness of solution
3. Exterior Problem
4. Ellipticity and Convergence for the Almansi formula
5. Regularity in $R^2$
6. Numerical Examples



Almansi representation, layer potential, Lipschitz, variational problem, weakly biharmonic



31A10, 31B10, 35A08, 37G10