期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S0161171295000755
出版社：Hindawi Publishing Corporation
摘要：The authors consider the problem of determining the temperature distribution u(x,t) on
the half-line x=0, t>0, from measurements at an interior point, for all t>0. As is well-known, this is
an ill-posed problem Using the Tikhonov method, the authors give a regularized solution, and assuming
the (unknown) exact solution is in Hα(ℝ), α>0. They give an error estimate of the order 1/(1n1/ ϵ )α
for ϵ →0, where ϵ >0 is a bound on the measurement error.
