On a backward problem for multidimensional Ginzburg-Landau equation with random data

Mokhtar Kirane, Erkan Nane, Nguyen Huy Tuan

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we consider a backward in time problem for the Ginzburg Landau equation in a 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. We prove an upper bound on the rate of convergence of the mean integrated squared error in L2 and H1 norms.

Original languageBritish English
Article number015008
JournalInverse Problems
Volume34
Issue number1
DOIs
StatePublished - Jan 2018

Keywords

  • backward problem
  • ill-posed problem
  • regularization

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