Titlebook: Partial Differential Equations; Jeffrey Rauch Textbook 1991 Springer Science+Business Media New York 1991 Boundary value problem.Derivativ

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Power Series Methods, has an enormous variety of technique and phenomena within its confines. This section describes the simplest nontrivial partial differential equation.The equation is of first order, is linear with constant coefficients, and involves derivatives with respect to both variables. The unknown is a possib

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Solution of Initial Value Problems by Fourier Synthesis,nstant coefficient equations have explicit exponential solutions. Both the power series method and the Fourier analysis method have as point of departure explicit exact solutions. This is a severe limitation. Some more recent developments, for example, pseudodifferential and Fourier integral operato

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