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Duca, Alessandro

  1. 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
  2. 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)
  3. 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
  4. 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
  5. 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
  6. 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)