Duca, Alessandro
- Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation
2021/01/28 by Alessandro Duca, Duca, Alessandro, Vahagn Nersesyan +1 · 7 citations
Engineering · Mathematics · Economics, Econometrics and Finance · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Stochastic processes and financial applications
- On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories
2024/07/15 by Duca, Alessandro, Pozzoli, Eugenio, Urbani, Cristina · 4 citations
#35K05 #35Q93 #93B05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
- Exact controllability to eigensolutions of the bilinear heat equation on compact networks
2021/11/03 by Piermarco Cannarsa, Cannarsa, Piermarco, Alessandro Duca +3 · 2 citations
Computer Science · Engineering · Mathematics · #35R02 #93B05 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
- Bilinear quantum systems on compact graphs: well-posedness and global\n exact controllability
2017/10/16 by Alessandro Duca, Duca, Alessandro · 1 citation
Mathematics · Physics and Astronomy · #35Q41 #81Q15 #93B05 #93C20 #Advanced Mathematical Physics Problems #FOS: Mathematics #Optimization and Control (math.OC) #Quantum Electrodynamics and Casimir Effect #advanced mathematical theories
- Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability
2018/09/17 by Alessandro Duca, Duca, Alessandro · 1 citation
Engineering · Mathematics · #35Q41 #81Q15 #93B05 #93C20 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Stability and Controllability of Differential Equations
- Small-time controllability for the nonlinear Schrödinger equation on ℝN via bilinear electromagnetic fields
2023/07/28 by Alessandro Duca, Duca, Alessandro, Eugenio Pozzoli +1 · 1 citation
Mathematics · Physics and Astronomy · #35Q55 #81Q93 #93B05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Numerical methods for differential equations #Optimization and Control (math.OC) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)