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L p -theory of Boundary Integral Equations on a Contour with Peak

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Boundary Integral Equations on Contours with Peaks

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 196))

Abstract

In this chapter we are concerned with two topics: solvability of boundary integral equations and Fredholm property of operators generated by these equations in L p spaces. We find under what conditions and in which spaces we have solvability and Fredholm theorems and we describe the cases when the Fredholm property fails.

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Tatyana Shaposhnikova

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© 2010 Birkhäuser Verlag AG

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Maz’ya, V.G., Soloviev, A.A. (2010). L p -theory of Boundary Integral Equations on a Contour with Peak. In: Shaposhnikova, T. (eds) Boundary Integral Equations on Contours with Peaks. Operator Theory: Advances and Applications, vol 196. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0171-9_1

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