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arxiv: 0709.3569 · v1 · submitted 2007-09-22 · 🧮 math.AP · math-ph· math.MP

Rational Approximation for a Quasilinear Parabolic Equation

classification 🧮 math.AP math-phmath.MP
keywords equationapproximationparabolictheoremsanalogousburgerscole-hopfelliptic
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Approximation theorems, analogous to known results for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise to approximation theorems for a nonlinear parabolic equation, Burgers' equation.

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