Abstract
Here we present various alternatives for solving the basic boundary value problems using the method of integral equations. We investigate solvability of the arising boundary integral equations in the space C(Γ). By compactness of the operators D, D’ and S we can apply Fredholm theory to arising integral equations of second kind. We consider first the case of an interior boundary value problem with a given boundary condition as introduced in Section 2.1.
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© 2002 Springer-Verlag Berlin Heidelberg
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Saranen, J., Vainikko, G. (2002). Solution of Boundary Value Problems by Integral Equations. In: Periodic Integral and Pseudodifferential Equations with Numerical Approximation. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04796-5_3
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DOI: https://doi.org/10.1007/978-3-662-04796-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07538-4
Online ISBN: 978-3-662-04796-5
eBook Packages: Springer Book Archive