Abstract
This chapter is devoted to the functional analysis tools required for developing the variational formulation of differential equations. It begins with an introduction to Hilbert spaces, including only material that is essential to later developments. The goal of the chapter is to provide a framework in which existence and uniqueness of solutions to variational problems may be established.
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© 1994 Springer Science+Business Media New York
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Brenner, S.C., Scott, L.R. (1994). Variational Formulation of Elliptic Boundary Value Problems. In: The Mathematical Theory of Finite Element Methods. Texts in Applied Mathematics, vol 15. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4338-8_3
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DOI: https://doi.org/10.1007/978-1-4757-4338-8_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-4340-1
Online ISBN: 978-1-4757-4338-8
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