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Elements of the Modern Theory of Partial Differential Equations

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In the last two or three decades, we mathematical physicists, who study on Schroedinger operator and scattering theory, have been required to learn much about the frontier line of pure mathematics, especially about the functional analytic method of linear PDE. For the study on the classical treatment of PDE, many excellent books have already been published, e.g. Courant & Hilbert, Petrovsky. But for the modern and advanced tool of PDE, we can't find so many exciting texts, except this Egorov's one ! This compact text (about 200 pages) is much highly suggestive than I expected. Although this text contains only the "Elements", many great ideas should be found even by theoretical physicists. Part two of this text, which deals with equations with constant coefficients, is especially inspiring for me, and probably for you. I can't afford to wait to read the following series of this text.