Abstract
The Fredholm property is a leitmotiv, since it was assumed in all sections of Chapters I and II. Clearly, all finite-dimensional linear operators have that property, but we have infinite-dimensional applications in mind. A prototype of a Fredholm operator, playing also a central role in applications, is an elliptic operator over a bounded domain. We confine ourselves to operators of second order acting on scalar functions.
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© 2012 Springer Science+Business Media, LLC
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Kielhöfer, H. (2012). Applications. In: Bifurcation Theory. Applied Mathematical Sciences, vol 156. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0502-3_4
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DOI: https://doi.org/10.1007/978-1-4614-0502-3_4
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