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;

D O I：

暂无

中图分类号：

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.

引用

页码：353 / 364

页数：11

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