Zhang, Junyong; Gao, Xiang; Fu, Chuli Fourier and Tikhonov regularization methods for solving a class of backward heat conduction problems. (Chinese. English summary) Zbl 1150.35591 J. Lanzhou Univ., Nat. Sci. 43, No. 2, 112-116 (2007). Summary: A class of one-dimensional backward heat conduction problems are discussed and a Fourier regularization approximating solution with Hölder type stability estimate is given. Moreover, by improving the a priori assumption, a Tikhonov regularization approximating solution with logarithmic type stability estimate is also given and the convergence of the solution at \(t=0\) is proved. Cited in 1 Document MSC: 35R25 Ill-posed problems for PDEs 35R30 Inverse problems for PDEs Keywords:backward heat conduction; ill-posed problem; Fourier regularization; Tikhonov regularization PDF BibTeX XML Cite \textit{J. Zhang} et al., J. Lanzhou Univ., Nat. Sci. 43, No. 2, 112--116 (2007; Zbl 1150.35591)