Email : math.golive [at] gmail.com
Institute of Mathematics
30-348 Kraków, Poland
- Partial differential equations, Integral equations
- Control theory and stabilization
- Spectral theory
- Pluripotential theory
Lecture notes (Shandong University)
Articles in preparation
 Finite-time boundary stabilization of linear hyperbolic balance laws with coefficients depending on time and space, J.-M. Coron, L. Hu, G. Olive and P. Shang, in preparation (2018).
Articles published in a peer-reviewed journal
 Compact perturbations of controlled systems, M. Duprez and G. Olive, Math. Control Relat. Fields 8 (2018), pp. 397-410.
 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation J.-M. Coron, L. Hu and G. Olive, Automatica 84 (2017), pp. 95-100.
 Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls, SIAM J. Control Optim. 55-1 (2017), pp. 300-323.
 Stabilization and controllability of first-order integro-differential hyperbolic equations, J.-M. Coron, L. Hu and G. Olive, J. Funct. Anal. 271 (2016), 3554-3587.
 Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null-controllability in cylindrical domains, SIAM J. Control Optim. 52 (2014), no. 5, 2970-3001.
 Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients, Math. Control Relat. Fields 4 (2014), no. 3, 263-287.
 Boundary approximate controllability of some linear parabolic systems, Evol. Equ. Control Theory 3 (2014), no. 1, 167-189.
 Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary, Math. Control Signals Systems 23 (2012), no. 4, 257-280.
Some conference talks
[T3] An introduction to linear control theory, “Seminar of Applied Mathematics — Jagiellonian University”, Krakow (Poland), November 2016. Abstract: This talk is an introduction to the basic concepts of control theory, with an opening towards the controllability of parabolic systems.
[T2] Stabilization and controllability of first-order integro-differential hyperbolic equations, “Nonlinear Partial Differential Equations and Applications — A conference in the honor of Jean-Michel CORON for his 60th birthday”, Paris (France), March 2016. Abstract: This talk presents the results of the article .
[T1] Controllability of parabolic systems, “From Open to Closed Loop Control”, Graz (Austria), June 2015. Abstract: This talk reviews some of the controllability issues for parabolic systems with less controls than equations.