On the Cauchy problem for a semilinear fractional elliptic equation
https://doi.org/10.1016/j.aml.2018.03.016Publisher, magazine: ,
Publication year: 2018
Lưu Trích dẫn Chia sẻAbstract
We study, for the first time in the literature on the subject, the Cauchy problem for a semilinear fractional elliptic equation. Under an a priori assumption on the solution, we propose the Fourier truncation method for stabilizing the ill-posed problem. A stability estimate of logarithmic type is established.
Tags: Fourier regularization method, Cauchy problem, Fractional elliptic equation, Error estimate
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