Nguyen Huy Tuan, Le Dinh Long
Abstract:
In this article, we study an inverse problem to determine an unknown
source term in a space time fractional diffusion equation, whereby
the data are obtained at a certain time. In general, this problem is
ill-posed in the sense of Hadamard, so the Fourier truncation method
is proposed to solve the problem. In the theoretical results, we
propose a priori and a posteriori parameter choice rules and analyze them.
Submitted March 5, 2017. Published May 4, 2017.
Math Subject Classifications: 35B53, 35R11.
Key Words: Fractional diffusion equation; Cauchy problem;
Ill-posed problem; convergence estimates.
Show me the PDF file (259 KB), TEX file for this article.
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Nguyen Huy Tuan Applied Analysis Research Group Faculty of Mathematics and Statistics Ton Duc Thang University Ho Chi Minh City, Viet Nam email: nguyenhuytuan@tdt.edu.vn |
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Le Dinh Long Institute of Computational Science and Technology Ho Chi Minh City, Viet Nam email: long04011990@gmail.com |
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