An L2-Theory of Dual Integral Equations.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Dual integral equations with different types of kernels arise in the mixed boundary value problems of the mathematical theory of elasticity. A unified theory for the equations, whose solutions are square integrable functions, is developed in this paper. The solution is determined as the intersection of two linear manifolds in a Hilbert space. The theory is illustrated by a few simple examples.
- Theoretical Mathematics