Abstract
This chapter introduces the necessary tools from functional analysis. We begin with the notion of weak (and weak∗) convergence–first in Hilbert, then in Banach spaces. These tools are necessary to introduce and study the separation of variables technique and the Galerkin method.
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Borodzik, M., Goldstein, P., Rybka, P., Zatorska-Goldstein, A. (2019). Common Methods. In: Problems on Partial Differential Equations. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-14734-1_3
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DOI: https://doi.org/10.1007/978-3-030-14734-1_3
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