题    目：The probabilistic convergence problem of density functions related to ∂_x^3+ ∂_x^−1

主讲人：闫威    教授

单    位：河南师范大学

时    间：2026年4月12日  15:00

地 点：郑州校区九章学堂南楼C座302

摘    要：In this article, by using full randomization introduced by Hadama and Yamamoto (Probabilistic Strichartz estimates in Schatten classes and their applications to Hartree equation, J. Math. Phys. 67(2026), 35pp) and high-low frequency technique as well as the property of S^2, we establish the probabilistic convergence of the density function related to ∂_x^3+ ∂_x^−1 on ℝ, which extends the Theorem 1.3 of Yan et al.(Convergence problem of Ostrovsky equation with rough data and random data, Indiana Univ. Math. J. 71(2022), 1897-1921.).

简    介：闫威，博士，河南师范大学教授，博士生导师，主要从事调和分析、偏微分方程、随机偏微分方程和初值随机化等方面的研究，曾先后主持国家自然科学基金面上项目两项和国家留学基金委项目等，目前主持在研一项国家自然科学基金面上项目，曾先后在Annales de l'Institut Henri Poincaré C Analyse nonlinéaire, Forum Mathematicum, Indiana University Mathematics Journal, Science China Mathemtics等发表文章。