In this chapter we provide definitions and theorems that will be used in the sequel pertaining to major function spaces, theory of abstract nonlinear operator equations governed by (multi-valued) pseudomonotone operators and their evolutionary counterparts, as well as nonsmooth analysis. Most of these results can be found in textbooks or monographs, and are given without proof or short sketch of proof only.
S. Carl and V. K. Le, "Mathematical Preliminaries," Springer Monographs in Mathematics, pp. 9 - 73, Springer, Mar 2021.
The definitive version is available at https://doi.org/10.1007/978-3-030-65165-7_2
Mathematics and Statistics
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03 Mar 2021