Identification of Source Terms in the Ginzburg-Landau Equation from Final Data
Analysis of PDEs
2025-11-11 v1 Optimization and Control
Abstract
In this article, we study an inverse problem consisting in the identification of a space-time dependent source term in the Ginzburg-Landau equation from final-time observations. We adopt a weak-solution framework and analyze Tikhonov's functional, deriving an explicit gradient formula via an adjoint system and proving its Lipschitz continuity. We then establish existence and uniqueness results for quasi-solutions, and validate the theory with numerical experiments based on iterative methods.
Keywords
Cite
@article{arxiv.2511.07345,
title = {Identification of Source Terms in the Ginzburg-Landau Equation from Final Data},
author = {Roberto Morales and Javier-Ramírez-Ganga},
journal= {arXiv preprint arXiv:2511.07345},
year = {2025}
}