Abstract
Linear integral equations of the second kind, were introduced in Chapter 2, and we note that they occur in a wide variety of physical applications. An important class of such equations are the boundary integral equations, about which more is said in Chapter 13. In the integral of (12.0.1), D is a closed, and often bounded, integration region. The integral operator is often a compact operator on C(D) or L2(D), although not always. For the case that the integral operator is compact, a general solvability theory is given in Subsection 2.8.4 of Chapter 2. A more general introduction to the theory of such equations is given in Kress [149].
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© 2009 Springer-Verlag New York
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Atkinson, K., Han, W. (2009). Numerical Solution of Fredholm Integral Equations of the Second Kind. In: Theoretical Numerical Analysis. Texts in Applied Mathematics, vol 39. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0458-4_12
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DOI: https://doi.org/10.1007/978-1-4419-0458-4_12
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