Regularized solution for a biharmonic equation with discrete data
https://doi.org/10.3934/eect.2020008Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this work, we focus on the Cauchy problem for the biharmonic equation associated with random data. In general, the problem is severely ill-posed in the sense of Hadamard, i.e, the solution does not depend continuously on the data. To regularize the instable solution of the problem, we apply a nonparametric regression associated with the Fourier truncation method. Also we will present a convergence result.
Tags: Ill-posed problem, regularized method, estimate, biharmonic equation, Cauchy problem, discrete data.
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