Download e-book for iPad: Algebraic Approaches to Partial Differential Equations by Xiaoping Xu

By Xiaoping Xu

This ebook offers a few of the algebraic recommendations for fixing partial differential equations to yield certain ideas, recommendations constructed via the writer lately and with emphasis on actual equations comparable to: the Maxwell equations, the Dirac equations, the KdV equation,  the KP equation,  the nonlinear Schrodinger equation,  the Davey and Stewartson equations, the Boussinesq equations in geophysics,  the Navier-Stokes equations and the boundary layer difficulties.  In order to unravel them, i've got hired the grading approach, matrix differential operators, stable-range of nonlinear phrases, relocating frames, uneven assumptions,  symmetry adjustments,  linearization strategies  and  special services. The ebook is self-contained and calls for just a minimum figuring out of calculus and linear algebra, making it available to a wide viewers within the fields of arithmetic, the sciences and engineering. Readers may well locate the precise strategies and mathematical talents wanted of their personal research.

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Algebraic Approaches to Partial Differential Equations (Springer Monographs in Mathematics) by Xiaoping Xu

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