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Rational approximation and universality for a quasilinear parabolic equation
Authors:P. M. Gauthier  N. Tarkhanov
Affiliation:1. Université de Montréal, Montréal, Québec, Canada
2. Institut für Mathematik, Universit?t Potsdam, Potsdam, Germany
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.
Keywords:Cole-Hopf transformation  Runge universality
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