王林峰

基本信息

職務職稱:黨總支副書記、院長、教授、碩導

電子郵件:wlf711178@ntu.edu.cn

部門:伟德国际BETVlCTOR官方网站 數學系

王林峰,男,碩士生導師,博士,1973年7月出生。擔任江蘇省高等學校數學教學研究會副秘書長、南通市數學會常務理事,曾獲得南通市第五期“226”高層次人才培養工程第二層次培養對象、南通市新長征突擊手标兵、伟德国际BETVlCTOR官方网站優秀共産黨員等榮譽稱号。長期從事流形和圖上的幾何分析學習和研究。以通訊/第一作者在 Comm. Anal. Geom.、J. Funct. Anal.、J. Differ. Equations、J. Geom. Anal.、Math. Z.、Pacific J. Math.、Sci. China Math.等國内外數學雜志上發表SCI論文40餘篇。主持并結題一項江蘇省自然科學基金面上項目,主要參與三項國家自然科學基金面上項目。

教育經曆

華東師範大學,數學,博士

華東師範大學,數學,碩士

複旦大學,數學,學士,

大連陸軍學院,軍訓

科研與學術工作經曆

2014年07月至今,伟德国际BETVlCTOR官方网站,理學院,伟德国际BETVlCTOR官方网站,教授

2007年07月-2014年06月,伟德国际BETVlCTOR官方网站,理學院,副教授

研究領域

流形和圖上的幾何分析

學術與社會兼職

江蘇省高等學校數學教學研究會副秘書長

南通市數學會常務理事

所授課程

數學分析

線性代數

高等數學

常微分方程

泛函分析

複變函數

微分幾何

微分流形

黎曼幾何

研究課題

江蘇省自然科學基金面上課題,BK20141235,梯度Einstein度量及相關問題研究,2014/07-2017/06,結題,主持

江蘇省高等教育教改研究重中之重課題,2023JSJG029,以省高校高等數學競賽為牽引的大學數學教學研究與實踐,2023/12-2025/12,在研,第一單位

江蘇省高校“大學素質教育與數字化課程建設”專項重點課題,2020JDKT005,數學專業分析類課程融入思政元素研究,2020/08-2022/05,結題,共同主持

教學與科研成果

科研成果:

45.王林峰, Elliptic gradient estimate for the p-Laplace operator on the graph, to appear in Asian J. Math.

44.王林峰, p-Laplace operator on a connected finite graph, to appear in Comm. Anal. Geom.

43.徐希, 申旺, 王林峰*, The $\mathrm{CD}_p$ curvature condition on a graph, Front. Math., 2024, 19(1): 181-192.

42.徐希, 申旺, 王林峰*, Geometric functionals for the p-Laplace operator on the graph, J. Funct. Anal., 2023, 284: 109878.

41.王林峰, Heat kernel and monotonicity inequalities on the graph, J. Geom. Anal., 2023, 33: 38.

40.申旺, 王林峰*, Lower bound of the scalar curvature for quasi-Einstein metrics, Differential Geom. Appl., 2021 75 : 101738.

39.王林峰, 圖上p-Laplace算子的特征值估計, 中國科學:數學, 2021, 51(8): 1225-1236.

38.王林峰, Vanishing results for the Weyl tensor on gradient quasi-Einstein solitons, Acta Math. Sin. (Engl. Ser.), 2021, 37(4): 588-596.

37.沈穎, 王林峰*, Noncollapsing estimate for the Ricci-Bourguignon flow, Differential Geom. Appl., 2020,69:101610

36.王林峰, 張澤宇, Gradient estimates for the heat equation on graphs, Comm. Anal. Geom., 2019, 27(4): 965-989.

35.呂穎, 王林峰*, Gradient estimates on connected graphs with the $\mathrm{CD}^{\psi}(m,K)$ condition, Ann. Mat. Pura Appl., 2019, 198: 2207-2225.

34.王林峰, Monotonicity of eigenvalues and functionals along the Ricci-Bourguignon flow, J. Geom. Anal., 2019, 29: 1116-1135.

33.嚴姗, 王林峰*, Elliptic gradient estimates for the doubly nonlinear diffusion equation,Nonlinear Anal., 2018, 176: 20-35.

32.王林峰, On gradient quasi-Einstein solitons, J. Geom. Phys., 2018,123: 484-494.

31.王林峰, Gradient estimates on the weighted p-Laplace heat equation, J. Differ. Equations, 2018, 264(1): 506-524.

30.王林峰, Gap results for compact quasi-Einstein metrics, Sci. China Math., 2018, 61(5): 943-954.

29.王林峰, 周俞潔, Eigenvalue estimates on a connected finite graph, Proc. Amer. Math. Soc., 2018, 146(11): 4855-4866.

28.王林峰, 周俞潔, A gradient estimate on graphs with the $CDE(m,K)$-condition, Arch. Math., 2017, 109: 383-391.

27.黃姝瑤, 王林峰*, Classification results of quasi Einstein solitons, Kodai Math. J., 2017, 40: 638-647.

26.王林峰, On f-non-parabolic ends for Ricci-harmonic metrics, Ann. Global Anal. Geom. , 2017, 51: 91-107.

25.王林峰, 張澤宇, 趙亮, 周俞潔, A Liouville theorem for weighted p-Laplace operator on smooth metric measure spaces, Math. Methods Appl. Sci., 2017, 40(4): 992-1002.

24.王林峰, 張澤宇, 周俞潔, Comparison theorems on smooth metric measure spaces with boundary, Adv. Geom., 2016, 16 (4): 401-411.

23.王林峰, Liouville theorems and gradient estimates for a nonlinear elliptic equation, J. Differ. Equations, 2016, 260(1): 567-585.

22.王林峰, On Ricci-harmonic metrics, Ann. Acad. Sci. Fenn. Math., 2016, 41: 417-437.

21.王林峰, A Myers theorem via m-Bakry-Émery curvature, Kodai Math. J., 2014,37(1): 187-195.

20.王林峰, Potential function estimates for quasi-Einstein metrics, J. Funct. Anal., 2014, 267(7): 1986-2004.

19.王林峰, On noncompact quasi Yamabe gradient solitons, Differential Geom. Appl., 2013, 31 (3): 337-348.

18.王林峰, Diameter estimate for compact quasi-Einstein metrics, Math. Z., 2013, 273(3-4): 801-809.

17.王林峰, Monotone formula via the Bakry-Émery curvature, Nonlinear Anal., 2013, 89: 230-241.

16.王林峰, Gradient estimates for the p-Laplace heat equation under the Ricci flow, Adv. Geom., 2013, 13 (2): 349-368.

15.王林峰, On $L_f^p-$spectrum and $\tau$quasi-Einstein metric, J. Math. Anal. Appl., 2012, 389 (1): 195-204.

14.王林峰, Eigenvalue estimate for the weighted p-Laplacian, Ann. Mat. Pura Appl., 2012, 191(3): 539-550.

13.王林峰, A splitting theorem for the weighted measure, Ann. Global Anal. Geom., 2012, 42(1): 79-89.

12.王林峰, Rigid properties of quasi-almost-Einstein metrics, Chinese Ann. Math. Ser. B, 2012, 33(5): 715-736.

11.王林峰, 朱月萍, Eigenvalue estimate for a weighted p-Laplacian on compact manifolds with boundary, Funct.Anal.Appl.,2012, 46(1): 58-61.

10.王林峰, Differential Harnack inequalities under a coupled Ricci flow, Math. Phys. Anal. Geom., 2012, 15(4): 343-360.

9.王林峰, 朱月萍. A sharp gradient estimate for weighted p-Laplacian. Appl. Math. J. Chinese Univ. Ser. B, 2012, 27(4): 462-474.

8.王林峰, A New entropy formula of heat equation, Arch. Math., 2011, 96(5): 473-481.

7.王林峰, Rigid properties of quasi-Einstein metrics, Proc. Amer. Math. Soc., 2011, 139(10): 3679-3689.

6.王林峰, On noncompact $\tau-$quasi-Einstein metrics, Pacific J. Math., 2011, 254(2): 449-464.

5.王林峰,  $L^2-$preserving Schrodinger heat flow under the Ricci flow, Balkan J. Geom. Appl., 2010, 15(2): 113-125.

4.王林峰, The upper bound of the $L_{\mu}^2-$spectrum, Ann. Global Anal. Geom., 2010, 37(4): 393-402.

3.王林峰, p-Laplace Schrödinger 熱方程的橢圓型梯度估計, 數學學報, 2010, 53(4): 643-654.

2.王林峰, 加權Ricci流的非拟周期性, 數學年刊, 2009,30(4): 467-478.

1.王林峰, Spectral gap and compact resolvent of heat kernel weighted Laplacian, 數學進展, 2009,38(3): 15-25.

教學成果:

王林峰、陸海華、薛蓮等,高等數學,上海交通大學出版社,2023

獎勵與榮譽

南通市第五期“226”高層次人才培養工程第二層次培養對象

南通市新長征突擊手标兵

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