Tuan, NH, Xuan, TD, Triet, NA et al. (1 more author) (2018) On the Cauchy problem for a semilinear fractional elliptic equation. Applied Mathematics Letters, 83. pp. 80-86. ISSN 0893-9659
Abstract
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.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2018 Elsevier Ltd. This is an author produced version of a paper published in Applied Mathematics Letters. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Fourier regularization method; Cauchy problem; Fractional elliptic equation; Error estimate |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Mar 2018 10:49 |
Last Modified: | 26 Mar 2019 01:39 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.aml.2018.03.016 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:128836 |