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- Title
A New Fourier Truncated Regularization Method for Semilinear Backward Parabolic Problems.
- Authors
Huy, Tuan; Kirane, Mokhtar; Samet, Bessem; Vo, Van
- Abstract
We study the backward problem for non-linear (semilinear) parabolic partial differential equations in Hilbert spaces. The problem is severely ill-posed in the sense of Hadamard. Under a weak a priori assumption on the exact solution, we propose a new Fourier truncated regularization method for stabilising the ill-posed problem. In comparison with previous studies on solving the nonlinear backward problem, our method shows a significant improvement.
- Subjects
MATHEMATICAL regularization; PARABOLIC differential equations; NONLINEAR analysis; MATHEMATICAL analysis; HADAMARD matrices
- Publication
Acta Applicandae Mathematicae, 2017, Vol 148, Issue 1, p143
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-016-0082-1