Rational approximation and universality for a quasilinear parabolic equation

被引：0
|
作者：
P. M. Gauthier
N. Tarkhanov
机构：
[1] Université de Montréal,Institut für Mathematik
[2] Universität Potsdam,undefined
来源：
Journal of Contemporary Mathematical Analysis | 2008年 / 43卷
关键词：
Cole-Hopf transformation; Runge universality; Primary 41A20, 35J60; Secondary 41-XX;
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学科分类号：
摘要：
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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页码：353 / 364
页数：11
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