Guillaume Olive

Researcher in applied mathematics
Institute of Mathematics, Jagiellonian University

Publications

Preprints

Articles in peer-reviewed journals

  1. 19

    Control of 1D first-order linear hyperbolic systems: a brief survey

    L. Hu and G. Olive

    To appear in Chinese Ann. Math. Ser. B, 2026

  2. 18

    A method to determine the minimal null control time of 1D linear hyperbolic balance laws

    L. Hu and G. Olive

    J. Differential Equations 440 (2025), part 1, 113455

  3. 17

    Minimal null control time of some 1D linear hyperbolic balance laws with constant coefficients and properties of related kernel equations

    L. Hu and G. Olive

    SIAM J. Control Optim. 63 (2025), no. 4, 2282–2313

  4. 16

    Boundary null controllability of some multi-dimensional linear parabolic systems by the moment method

    F. Boyer and G. Olive

    Ann. Inst. Fourier (Grenoble) 74 (2024), no. 5, 1943–2012

  5. 15

    The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws

    L. Hu and G. Olive

    ESAIM Control Optim. Calc. Var. 30 (2024), Paper No. 82, 13 pp.

  6. 14

    Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation

    S. Abja, S. Dinew and G. Olive

    Potential Anal. 59 (2023), no. 4, 1507–1524

  7. 13

    Local regularity for concave homogeneous complex degenerate elliptic equations dominating the Monge-Ampère equation

    S. Abja and G. Olive

    Ann. Mat. Pura Appl. (4) 201 (2022), no. 2, 561–587

  8. 12

    Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix

    L. Hu and G. Olive

    J. Differential Equations 336 (2022), 654–707

  9. 11

    Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space

    J.-M. Coron, L. Hu, G. Olive and P. Shang

    J. Differential Equations 271 (2021), 1109–1170

  10. 10

    Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls

    L. Hu and G. Olive

    J. Math. Pures Appl. (9) 148 (2021), 24–74

  11. 9

    Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems

    L. Hu and G. Olive

    ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 96, 18 pp.

  12. 8

    Compact perturbations of controlled systems

    M. Duprez and G. Olive

    Math. Control Relat. Fields 8 (2018), no. 2, 397–410

  13. 7

    Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls

    F. Alabau-Boussouira, J.-M. Coron and G. Olive

    SIAM J. Control Optim. 55 (2017), no. 1, 300–323

  14. 6

    Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

    J.-M. Coron, L. Hu and G. Olive

    Automatica J. IFAC 84 (2017), 95–100

  15. 5

    Stabilization and controllability of first-order integro-differential hyperbolic equations

    J.-M. Coron, L. Hu and G. Olive

    J. Funct. Anal. 271 (2016), no. 12, 3554–3587

  16. 4

    Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains

    A. Benabdallah, F. Boyer, M. González-Burgos and G. Olive

    SIAM J. Control Optim. 52 (2014), no. 5, 2970–3001

  17. 3

    Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients

    F. Boyer and G. Olive

    Math. Control Relat. Fields 4 (2014), no. 3, 263–287

  18. 2

    Boundary approximate controllability of some linear parabolic systems

    G. Olive

    Evol. Equ. Control Theory 3 (2014), no. 1, 167–189

  19. 1

    Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary

    G. Olive

    Math. Control Signals Systems 23 (2012), no. 4, 257–280