Notes on geometric aspects of effectively hyperbolic critical points when the characteristic roots are real on one side of time, Proc. Japan Acad. Ser.
A Math.Sci. (2024) OpenAccess
A more direct way to the Cauchy problem for effectively hyperbolic operators, J. Pseudo-Differ. Oper. Appl. (2024) shared link
Cauchy problem for operators with triple effectively hyperbolic characteristics--Ivrii's conjecture--, J. Anal. Math. (2023) shared link
A discrete algorithm for general weakly hyperbolic systems (with Ferruccio Colombini and Jeffrey Rauch) J. Pseudo-Differ. Oper. Appl. (2022) shared link
Diagonal symmetrizers for hyperbolic operators with triple characteristics Mathematishe Annalen (2021) shared link
Transversally strictly hyperbolic systems, Kyoto J. Math. 60 (2020), 1399-1418 pdf
On the Cauchy problem for D_t^2-D_x(b(t)a(x))D_x, Journal of Hyperbolic Differential Equations (2020), 75-122 (with Ferruccio Colombini)
Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane, Osaka J. Math. 57 (2020), 597-615 (with Vesselin Petkov)
Notes on symmetrization by Bezoutian, Bollettino dell'Unione Matematica Italiana (2020) 13: 417-428 link
Cauchy problem for effectively hyperbolic operators with triple characteristics, J. Math. Pures Appl., 123 (2019), 201-228 (with Vesselin Petkov)
Weakly hyperbolic systems by symmetrization, Ann. Sci. Norm. Super. Pisa XIX (2019), 217-251 (with Ferruccio Colombini and Jeffrey Rauch)
Note on strongly hyperbolic systems with involute characteristics,
Kyoto J. Math., 58 (2018), 569-582 (with Guy M\'etivier)
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Geometric results for hyperbolic operators with spectral transition of the Hamilton map (Tangent bicharacteristic, Elementary factorization) (May, 2025)pdf
Geometric results for hyperbolic operators with spectral transition of the Hamilton map (Normal form, Extension lemma) (April, 2025)pdf
Examples of uniformly symmetrizable systems for which the Cauchy problem is ill-posed in the Gevrey class >2 (February, 2024) slides
Applications of pseudodifferential operators of symbol exp(S^{\kappa}_{\rho,\delta}) to the Cauchy problem (February, 2024)pdf
On pseudodifferential operators of symbol exp(S^{\kappa}_{\rho,\delta}) (January, 2024)pdf