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Summability of Power Series in Several Variables, with Applications to Singular Perturbation Problems and Partial Differential Equations

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Document pages: 15 pages

Abstract: We introduce and study a summability method of power series in several variables, and investigate applications to formal solutions of singular perturbation problems and partial differential equations. Doing so, we extend results of Lutz, Miyake and Schäfke, resp. Balser, for the complex heat equation to more general cases.

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