Antoine BENOIT

• Maître de conférences HDR au LMPA
• Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
• Email : antoine.benoit@univ-littoral.fr
• Page internet : http://www-lmpa.univ-littoral.fr


• Laboratoire de Mathématiques Pure et Appliquées
  • Adresse :
    LMPA
    Centre Universitaire de la Mi-Voix
    50 rue Ferdinand Buisson
    CS 80699
    62228 CALAIS Cedex France

14 publications

1. Persistence of regularity of the solution to a hyperbolic boundary value problem in domain with corner (Benoit A.), In J. Differential Equations, volume 378, 2024. [url] [doi][hal-lmpa]
2. Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: the glancing degeneracy (Benoit A. and Loyer R.), In Asymptot. Anal., volume 134, 2023. [url][hal-lmpa]
3. Null controllability of strongly degenerate parabolic equations (Benoit A., Loyer R. and Rosier L.), In ESAIM Control Optim. Calc. Var., volume 29, 2023. [url] [doi][hal-lmpa]
4. WKB expansions for weakly well-posed hyperbolic boundary value problems in a strip: Time depending loss of derivatives (Benoit A.), In Journal of Hyperbolic Differential Equations, World Scientific Pub Co Pte Ltd, volume 18, 2021. [url] [doi][hal-lmpa]
5. Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval (Benoit A.), In Mathematics of Computation, American Mathematical Society (AMS), 2021. [url] [doi][hal-lmpa]
6. Lower exponential strong well-posedness of hyperbolic boundary value problems in a strip (Benoit A.), In Indiana Univ. Math. J., volume 69, 2020. [url] [doi][hal-lmpa]
7. Weak well-posedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry (Benoit A.), In Commun. Pure Appl. Anal., volume 19, 2020. [url] [doi][hal-lmpa]
8. WKB expansions for hyperbolic boundary value problems in a strip: selfinteraction meets strong well-posedness (Benoit A.), In J. Inst. Math. Jussieu, volume 19, 2020. [url] [doi][hal-lmpa]
9. Long-time homogenization and asymptotic ballistic transport of classical waves (Benoit A. and Gloria A.), In Ann. Sci. 'Ec. Norm. Supér. (4), volume 52, 2019. [url] [doi][hal-lmpa]
10. Semi-group stability of finite difference schemes in corner domains (Benoit A.), In Numer. Math. Theory Methods Appl., volume 11, 2018. [url] [doi][hal]
11. Geometric optics expansions for hyperbolic corner problems II: From weak stability to violent instability (Benoit A.), In SIAM J. Math. Anal., volume 49, 2017. [url] [doi][hal]
12. Geometric optics expansions for hyperbolic corner problems, I: self-interaction phenomenon (Benoit A.), In Anal. PDE, volume 9, 2016. [url] [doi][hal]
13. Finite speed of propagation for mixed problems in the $WR$ class (Benoit A.), In Commun. Pure Appl. Anal., volume 13, 2014. [url] [doi][hal]
14. Geometric optics expansions for linear hyperbolic boundary value problems and optimality of energy estimates for surface waves (Benoit A.), In Differential Integral Equations, volume 27, 2014. [url][hal]