About me
I'm Sonae HADAMA. I am a postdoctoral researcher at Kyoto University in Japan.
Please feel free to contact me: hadama[at]kurims.kyoto-u.ac.jp
Positions
October 2025 - Present JSPS Research Fellowship for Young Scientists PD, Kyoto University (Host: Kenji NAKANISHI)
April 2024 - September 2025 JSPS Research Fellowship for Young Scientists DC2
April 2023 - March 2024 JST, the establishment of university fellowships towards the creation of science technology innovation
Research Interests
Linear and nonlinear dispersive equations
Linear estimates (e.g., Strichartz estimates)
Long-time behavior of solutions (e.g., Scattering, modified scattering)
Well-posedness theory, including probabilistic methods
Connections between two or more PDEs
Semi-classical limit from the Hartree equation to the Vlasov equation
Derivation of the kinetic/fluid equations
Related to the above topics, I am also interested in
Kinetic and fluid equations themselves
Harmonic analysis, operator theory, and probability theory as powerful toolboxes
Published Articles
[3] S. Hadama and T. Yamamoto: Probabilistic Strichartz estimates in Schatten classes and their applications to the Hartree equation. Journal of Mathematical Physics (2026). Article. arXiv.
[2] S. Hadama and Y. Hong: Global well-posedness of the nonlinear Hartree equation for infinitely many particles with singular interaction. Journal of Functional Analysis (2025). Article. arXiv.
[1] S. Hadama: Asymptotic stability of a wide class of stationary solutions for the Hartree and Schrödinger equations for infinitely many particles. Annales Henri Lebesgue (2025). Article. arXiv.
Accepted articles
Preprints
[C] S. Hadama: Uniform dispersive estimates for the semi-classical Hartree equation with long-range interaction. arXiv Preprint (2025). Submitted.
[B] S. Hadama and Y. Hong: Semi-classical limit of quantum scattering states for the nonlinear Hartree equation. arXiv Preprint (2025). Submitted.
[A] A. Borie, S. Hadama, and J. Sabin: Scattering for the positive density Hartree equation. arXiv Preprint (2025). Submitted.