About me
I am Sonae HADAMA. I am a postdoctoral researcher at the University of Osaka in Japan.
Please feel free to contact me:
hadama.sonae.sci[at]osaka-u.ac.jp
hadama[at]kurims.kyoto-u.ac.jp
Current position
April 2026 - Present Project Researcher (JSPS Research Fellowship for Young Scientists PD), The University of Osaka. Host: Haruya MIZUTANI
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.H and Takuto Yamamoto: Probabilistic Strichartz estimates in Schatten classes and their applications to the Hartree equation. Journal of Mathematical Physics (2026). Article. arXiv.
[2] S.H and Younghun 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.H: 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
[E] S.H and Andrew Rout: Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle. arXiv Preprint (2026). Submitted.
[D] S.H: Well-posedness in the full scaling-subcritical range for a class of nonlocal NLS on the line. arXiv Preprint (2026). Submitted.
[C] S.H: Uniform dispersive estimates for the semi-classical Hartree equation with long-range interaction. arXiv Preprint (2025). Submitted.
[B] S.H and Younghun Hong: Semi-classical limit of quantum scattering states for the nonlinear Hartree equation. arXiv Preprint (2025). Submitted.
[A] Antoine Borie, S.H, and Julien Sabin: Scattering for the positive density Hartree equation. arXiv Preprint (2025). Submitted.