Titlebook: Distributions, Partial Differential Equations, and Harmonic Analysis; Dorina Mitrea Textbook 20131st edition Springer Science+Business Med

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Textbook 20131st editionrgely 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.​

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Distributions, Partial Differential Equations, and Harmonic Analysis978-1-4614-8208-6Series ISSN 0172-5939 Series E-ISSN 2191-6675

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On Making Implicit Methodologies ExplicitThis chapter has a two fold aim: determine all fundamental solutions that are tempered distributions for the heat operator and related versions (including the Schrödinger operator), then use this as a toll in the solution of the generalized Cauchy problem for the heat operator.