Functional Analysis, Sobolev Spaces and Partial Differential Equations
by Haim Brezis · Haim Brezis
Graduate textbook developing functional analysis (Hahn–Banach, weak topologies, Lp spaces, compact operators, spectral theory) and applying it to Sobolev spaces and the variational theory of elliptic, parabolic and hyperbolic PDEs. Includes extensive exercises, many with solutions.
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