Download E-books Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations (Graduate Studies in Mathematics) PDF

By Alberto Bressan

This textbook is addressed to graduate scholars in arithmetic or different disciplines who desire to comprehend the fundamental options of practical research and their purposes to partial differential equations. The ebook is deliberately concise, proposing all of the basic ideas and effects yet omitting the extra really good subject matters. sufficient of the speculation of Sobolev areas and semigroups of linear operators is integrated as had to enhance major functions to elliptic, parabolic, and hyperbolic PDEs. in the course of the ebook, care has been taken to provide an explanation for the connections among theorems in practical research and accepted result of finite-dimensional linear algebra. the most options and concepts utilized in the proofs are illustrated with plenty of figures. A wealthy selection of homework difficulties is integrated on the finish of such a lot chapters. The ebook is appropriate as a textual content for a one-semester graduate path.

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