A new stability results for the backward heat equation

Details A new stability results for the backward heat equation A new stability results for the backward heat equation

2009-11-13

arxiv.org/abs/0911.2605v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained. Meanwhile, some quite sharp error estimates between the approximate solution and exact solution are provided. Especially, the optimal convergence of the approximate solution at t = 0 is also proved. This work extends to many earlier results in (f2,f3, hao1,Quan,tau1, tau2, Trong3,x1).

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