Backward problem for time fractional reaction-diffusion equation with nonlinear source and discrete data
Analysis of PDEs
2020-03-17 v2
Abstract
In this paper, we study the problem of finding the solution of a multi-dimensional time fractional reactiondiffusion equation with nonlinear source from the final value data. We prove that the present problem is not well-posed. Then regularized problems are constructed using the truncated expansion method (in the case of two-dimensional) and the quasi-boundary value method (in the case of multi-dimensional). Finally, convergence rates of the regularized solutions are given and investigated numerically.
Cite
@article{arxiv.1910.14204,
title = {Backward problem for time fractional reaction-diffusion equation with nonlinear source and discrete data},
author = {Nguyen Huy Tuan and Tran Ngoc Thach and Donal O'Regan and Nguyen Huu Can},
journal= {arXiv preprint arXiv:1910.14204},
year = {2020}
}
Comments
26 pages, 11 figures