Mathematics – Analysis of PDEs
Scientific paper
2007-09-22
Mathematics
Analysis of PDEs
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.
Gauthier P. M.
Tarkhanov Nikolai
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