Elliptic regularization for the heat equation with nonlinear boundary conditions
Narcisa Apreutesei, V. A. Volpert · Asymptotic Analysis · 2003
The paper is devoted to an elliptic perturbation of a parabolic problem. The solution v of the heat equation with a nonlinear boundary condition is compared with the solution v ε of an elliptic regularization. An asymptotic expansion of v ε is constructed and the order of accuracy for the difference v ε −v is obtained. The boundary function method by Vishik and Lyusternik is used.