A note on an ill-posed problem for the heat equation
- 1 June 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 32 (3) , 358-368
- https://doi.org/10.1017/s1446788700024915
Abstract
In this paper an ill-posed problem for the heat equation is investigated. Solutions u to the equation ut – uxx = 0, which are approximately known on the positive half-axis t = 0 and on some vertical lines x = x1,…, x = xn, are considered and stability estimates of these solutions are presented. We assume an a priori bound, governing the heat flow across the boundary x = 0.Keywords
This publication has 1 reference indexed in Scilit:
- Surface temperature history determination from borehole measurementsMathematical Geology, 1973