2 papers
math.CA2025
Hadamard-Lévy theorems for maps taking values in a finite dimensional space
Yacine Chitour, Zhengping Ji, Emmanuel Trélat
We propose global surjectivity theorems of differentiable maps based on second order conditions. Using the homotopy continuation method, we demonstrate that, for a differenti…
math.OC2025
Turnpike property of linear quadratic control problems with unbounded control operators
Hoai-Minh Nguyen, Emmanuel Trélat
We establish the turnpike property for linear quadratic control problems for which the control operator is admissible and may be unbounded, under quite general and natural assumpti…