Rational Approximation for a Quasilinear Parabolic Equation
Analysis of PDEs
2007-09-25 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0709.3569,
title = {Rational Approximation for a Quasilinear Parabolic Equation},
author = {P. M. Gauthier and N. Tarkhanov},
journal= {arXiv preprint arXiv:0709.3569},
year = {2007}
}
Comments
16 pages