Rational approximation and universality for a quasilinear parabolic equation |
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Authors: | P. M. Gauthier N. Tarkhanov |
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Affiliation: | 1. Université de Montréal, Montréal, Québec, Canada 2. Institut für Mathematik, Universit?t Potsdam, Potsdam, Germany
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Abstract: | Approximation theorems, analogous to results known for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise to approximation theorems for one of the simplest examples of a nonlinear partial differential equation, Burgers’ equation. |
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Keywords: | Cole-Hopf transformation Runge universality |
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