CORRECTION
Abstract
Full Text
CORRECTION
In my article (N. N. Kochina, “On the solution of a diffusion problem with a nonlinear boundary condition”), published in DAN, vol. 174, no. 2, 1967, the following corrections must be made:
| Page | Line | Printed | Should read |
|---|---|---|---|
| 305 | 5 | $\dfrac{dc(0,t)}{dx}$ | $\dfrac{\partial c(0,t)}{\partial x}$ |
| 305 | 3 from bottom | $t$ | $T$ |
| 306 | 2 | solution | the unique continuous solution tending to zero at infinity, |
| 307 | 7 | $\xi$ | $\zeta$ |
| 307 | 8 | equation (8) | equation for the first iteration of equation (8) |
| 307 | 12 | We shall | If $F_0(U)=F+\varepsilon\eta(U)$, then for small $\varepsilon$ the solutions of equations (8) and (11) are close. We shall |
| 307 | 25 from bottom | $U(\tau)=a/\sqrt{\tau}+\ldots,$ $BU_n(\tau)=b/\sqrt{\tau}+\ldots,$ |
$U(\tau)=U(0)+a\sqrt{\tau}+\ldots,$ $BU_n(\tau)=BU_n(0)+b\sqrt{\tau}+\ldots,$ |
| 307 | 6 from bottom | (10) | (12) |
| 307 | 4 from bottom | $\lambda_*$ | $\lambda_*$ |
| 308 | 2 | $\ll 1$ | $\ll 1+|U_*-U_n|$ |
| 308 | 21 from bottom | problems. | problems. Equations (8) and (11) coincide if $F_0(U)=\mathrm{const}$ or if the expression $\varepsilon\xi(U)$ in formula (11) is replaced by $F(U)-F_0[U(5)/U(1/2)]$. |
I express my gratitude to V. N. Monakhov, who drew attention to some inaccuracies in my article.
N. N. Kochina
Submission history
[v1] 1969-01-01