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New indirect scalar boundary integral equation formulas for the biharmonic equation. (English) Zbl 0986.31003
The paper deals with the Dirichlet problem for the biharmonic equation on a planar domain with piecewise-smooth boundary. The solution is looked for in the form of sums of layer potentials. The unique solvability of the corresponding integral equations are proved.

##### MSC:
 31A30 Biharmonic (etc.) functions and equations (two-dimensional), Poisson’s equation 31A10 Integral representations of harmonic functions (two-dimensional)
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##### References:
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