Regularized solution of a Cauchy problem for stochastic elliptic equation
https://onlinelibrary.wiley.com/doi/full/10.1002/mma.6519Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this study, we investigate a Cauchy problem for the stochastic elliptic equation driven by Wiener noise. We show this problem is not well‐posed by proposing a simple illustrative example. To regularize the instable solution, we apply a regularization method called Fourier truncated expansion method. Furthermore, the convergence rate of the regularized solution is also investigated.
Tags: initial value problem, regularized solution, stochastic elliptic equation, the ill-posedness
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