Distributions, Partial Differential Equations, and Harmonic Analysis

By: Dorina Mitrea

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eText | 20 September 2013

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The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam'e and Schrodinger operators.