New indirect scalar boundary integral equation formulas for the biharmonic equation |
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Institution: | Department of Mathematics, Ajou University, Suwon 442-749, South Korea |
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Abstract: | We derive scalar boundary integral equation formulas for both interior and exterior biharmonic equations with the Dirichlet boundary data. They are based on indirect boundary integral equation formulas, so-called the Chakrabarty and Almansi formulas. The scalar formulas are derived through an unconventional variational approach. The unique solvability results of the formulas are also obtained. |
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