Preliminaries on the Fredholm Alternative Principle

Matteo Dalla Riva, Massimo Lanza de Cristoforis and Paolo Musolino
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Matteo Dalla Riva: The University of Tulsa, College of Engineering and Natural Science
Massimo Lanza de Cristoforis: Università degli Studi di Padova, Dipartimento di Matematica
Paolo Musolino: Università Ca’ Foscari Venezia, Dipartimento di Scienze Molecolari e Nanosistemi

Chapter Chapter 5 in Singularly Perturbed Boundary Value Problems, 2021, pp 175-177 from Springer

Abstract: Abstract In the chapters that follow this one, we will exploit certain results of Wendland (Math. Z., 101:61–64, 1967; Methoden Verfahren Math. Phys. 3:141–176,1970), on Fredholm operators in dual systems. The present chapter’s purpose is to introduce these results. We also recall some classical theorems of Functional Analysis in Banach spaces. We do not include proofs, however, as these can be found in monographs such as those of Kress (Linear integral equations, volume 82 of Applied Mathematical Sciences. Springer, New York, third edition, 2014.), Wloka et al. (Boundary value problems for elliptic systems. Cambridge University Press, Cambridge, 1995), as well as in the above-mentioned papers of Wendland.

Date: 2021
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DOI: 10.1007/978-3-030-76259-9_5

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