Sparse control for VCHE with abstract J
Optimization and Control
2026-04-06 v1
Abstract
We investigate a distributed optimal control problem for the viscous Camassa--Holm equations with sparse controls and a general cost functional. Considering three different forms of sparsity-promoting terms, we prove the existence of optimal solutions, derive the corresponding optimality conditions and analyze the stability of optimal solutions with respect to the sparsity parameter.
Keywords
Cite
@article{arxiv.2604.02724,
title = {Sparse control for VCHE with abstract J},
author = {Giang Nguyen Hai Ha},
journal= {arXiv preprint arXiv:2604.02724},
year = {2026}
}