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Boundary Integral Equations on Curves in \(IR\) 2

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Boundary Integral Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 164))

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Abstract

In Chapter 10 we presented the essence of boundary integral equations recast as pseudodifferential operators on boundary manifolds \(\Gamma \) \(\subset \) \(IR\) n for \(n\) = 3. In this chapter we present the two–dimensional theory of classical pseudodifferential and boundary integral operators based on Fourier analysis. In general, the representations of boundary potentials are based on the local charts and local coordinates (3.3.3)–(3.3.5).

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Correspondence to George C. Hsiao .

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Hsiao, G.C., Wendland, W.L. (2021). Boundary Integral Equations on Curves in \(IR\) 2. In: Boundary Integral Equations. Applied Mathematical Sciences, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-030-71127-6_11

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