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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.

31A30Biharmonic (etc.) functions and equations (two-dimensional), Poisson’s equation
31A10Integral representations of harmonic functions (two-dimensional)
Full Text: DOI
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