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- W3133970298 abstract "This paper is concerned with a solution of backward pseudo-Parabolic equationut−αΔut+G(∥∇u∥L2(Ω))(−Δ)βu=K(t,x)subject to the final data which is blurred by random Gaussian white noise. The primary aim of this work is to obtain the solution u. This problem is severely ill-posed (the solution’s behavior does not change continuously with the final condition). By using a statistical method, we estimate the value data from observation data and the Fourier truncation method is used to propose a regularized solution. Under some priori assumptions, we derive an error estimate between a mild solution and its regularized solution. Finally, a numerical example is given to illuminate the effect of our method." @default.
- W3133970298 created "2021-03-15" @default.
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- W3133970298 date "2021-04-01" @default.
- W3133970298 modified "2023-10-01" @default.
- W3133970298 title "On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise" @default.
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- W3133970298 doi "https://doi.org/10.1016/j.chaos.2021.110771" @default.
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