On a backward problem for multidimensional Ginzburg-Landau equation with random data
Analysis of PDEs
2018-01-17 v1 Mathematical Physics
math.MP
Probability
Spectral Theory
Abstract
In this paper, we consider a backward in time problem for Ginzburg-Landau equation in multidimensional domain associated with some random data. The problem is ill-posed in the sense of Hadamard. To regularize the instable solution, we develop a new regularized method combined with statistical approach to solve this problem. We prove a upper bound, on the rate of convergence of the mean integrated squared error in norm and norm.
Cite
@article{arxiv.1702.03024,
title = {On a backward problem for multidimensional Ginzburg-Landau equation with random data},
author = {Mokhtar Kirane and Erkan Nane and Nguyen Huy Tuan},
journal= {arXiv preprint arXiv:1702.03024},
year = {2018}
}
Comments
15 pages; submitted for publication. arXiv admin note: text overlap with arXiv:1701.08459