Author:
Van Duc NGUYEN, ,Duy Nhat Minh LUONG,
Abstract
In this paper, we prove a stability estimate of H¨older type and propose a regularization method with error estimates of H¨older type for an inverse heat source problem in the Banach space L1(Rn).
Reference12 articles.
1. [1] A. Ashyralyev, A. S. Erdogan and O. Demirdag, "On the determination of the right-hand side in a parabolic equation", Applied Numerical Mathematics, 62, pp. 1672-1683, 2012.
2. [2] N. V. Duc, "An a posteriori mollification method for the heat equation backward in time", Journal of Inverse and Ill-Posed Problems, 25(4), pp. 403-422, 2017.
3. [3] N. V. Duc, N. V. Thang, "Stability results for semi-linear parabolic equations backward in time", Acta Mathematica Vietnamica, 42(1), pp. 99-111, 2017.
4. [4] D. Guidetti, "Determining the Source Term in an Abstract Parabolic Problem From a Time Integral of the Solution", Mediterranean Journal of Mathematics, 9, pp. 611-633, 2012.
5. [5] J. Hadamard, Lectures on the Cauchy Problem in Linear Partial Differential Equations, Yale University Press, New Haven, 1923.