高晋
姓名:高晋
职称:讲师
邮箱:gaojin@hznu.edu.cn
个人简介:2020.08博士毕业于清华大学数学系,2019.02-2019.08美国伊利诺伊大学香槟分校访学,2020.09-至今就职于杭州师范大学数学学院
研究方向:热核估计、分形分析
教学与课程:《高等数学A\B\C》
科研项目:
1. 浙江省自然科学基金青年项目,度量测度空间上基于狄氏型和p-energy型的热核理论研究,2025.01-2026.12,主持
2. 国家自然科学基金面上项目,热核及其相关问题的理论研究,2023.01-2026.12,参与
论文列表:
1. Jin Gao, Meng Yang. Hölder regularity of harmonic functions on metric measure spaces, Adv. Math. , 488:110797, 2026.
2. Jin Gao, Zhenyu Yu and Junda Zhang. Heat kernel-based p-energy norms on metric measure spaces, Math. Proc. Camb. Phil. Soc., Published online:1-44, 2026.
3. Aobo Chen, Jin Gao, Zhenyu Yu and Junda Zhang. p-energy norms on scale-irregular Vicsek sets. J. Fractal Geom., 13(1-2):37–85, 2026.
4. Diwen Chang, Jin Gao, Zhenyu Yu and Junda Zhang. Weak monotonicity property of Korevaar-Schoen norms on nested fractals, J. Math. Anal. Appl., 540:128623, 2024.
5. Jin Gao, Zhenyu Yu and Junda Zhang. Convergence of p-energy Forms on Homogeneous p.c.f
self-similar Sets. Potential Anal., 59 (4):1851–1874, 2023.
6. Jin Gao, Zhenyu Yu and Junda Zhang. Convergence of Dirichlet forms and Besov norms on scale irregular Sierpinski gaskets. Fractals, 30(7):225016, 2022.
7. Jin Gao. Davies method for heat kernel upper bounds of non-local Dirichlet forms on ultra-metric spaces, Acta Math. Sci., 40B(5):1240-1248, 2020.
Lijia Han, Jin Gao. Stability of solitary waves for the generalized nonautonomous dual-power nonlinear Schrodinger equations with time-dependent coefficients, Commun. Nonlinear Sci. Numer. Simul., 42: 520-531, 20