Rational Approximation for a Quasilinear Parabolic Equation

Mathematics – Analysis of PDEs

Scientific paper

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16 pages

Scientific paper

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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