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Preliminaries on the Fredholm Alternative Principle

In: Singularly Perturbed Boundary Value Problems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Matteo Dalla Riva & Massimo Lanza de Cristoforis & Paolo Musolino, 2021. "Preliminaries on the Fredholm Alternative Principle," Springer Books, in: Singularly Perturbed Boundary Value Problems, chapter 0, pages 175-177, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-76259-9_5
    DOI: 10.1007/978-3-030-76259-9_5
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