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On a backward problem for two-dimensional time fractional wave equation with discrete random data

  • *Corresponding author: Tran Ngoc Thach

    *Corresponding author: Tran Ngoc Thach 
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  • This paper is concerned with a backward problem for a two- dimensional time fractional wave equation with discrete noise. In general, this problem is ill-posed, therefore the trigonometric method in nonparametric regression associated with Fourier truncation method is proposed to solve the problem. We also give some error estimates and convergence rates between the regularized solution and the sought solution under some assumptions.

    Mathematics Subject Classification: 35K99, 47J06, 47H10, 35K05.


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