Student Seminar on PDE and Applications(2020 Fall)

Organizers:Xinan Ma
Participants:Xinan Ma, Xiaohan Jia, Zhenghuan Gao, Yitian Zhang, Shanze Gao, Xinqun Mei, Jundong Zhou, Daowen Lin, Wangzhe Wu, Tian Wu, Xiao Zhou. Qiqi Zhang.
contact:Xinqun Mei
email:qunmx@mail.ustc.edu.cn
Time:Monday, Tuesday, Thursday.
Room:1318

20th Week Schedule List

2021.01.11, Monday at Room 1318, 9:00-12:00
Speaker:Daowen Lin
Title :Catenoidal layers for the Allen-Cahn equation in bounded domains. Oscar Agudelo, Manuel Del Pino, and Juncheng Wei.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:10:30-12:00

2021.01.12,Tuesday at Room 1318,9:00-12:00
Speaker:Tian Wu
Title :Review of Yau's conjecture on zero sets of Laplace eigenfunctions. Alexander Logunov, Eugenia Malinnikova.
Time:9:00-10:30

Speaker:Zhenghuan Gao
Title :Oblique boundary value problems for equations of Monge-Ampere type. John-Urbas.1998.CVPDE.
Time:10:30-12:00

2021.01.14,Thurday at Room 1318,9:00-12:00
Speaker:Xinqun Mei
Title :Convexity of level sets and a two-point function. 2018,PJM. Ben Weinkove.
Time:9:00-10:30

Speaker: Xinan Ma
Title :On space-time quasiconcave solutions of the heat equation, Chuanqiang Chen, Xinan Ma, Paolo Salani.
Time:10:30-12:00

19th Week Schedule List

2021.01.04, Monday at Room 1318, 9:00-12:00
Speaker:Tian Wu
Title :Liouville theorem for a class semilinear elliptic problem on Heisenberg group. Xinan Ma, Qianzhong Ou. 2020. Arxiv.
Time:9:00-10:30

Speaker : Daowen Lin
Tittle:Liouville theorem for a class semilinear elliptic problem on Heisenberg group. Xinan Ma, Qianzhong Ou. 2020. Arxiv.
Time:10:30-12:00

2021.01.05,Tuesday at Room 1318,9:00-12:00
Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

2021.01.07,Thurday at Room 1318,9:00-12:00
Speaker:Xinqun Mei
Title :On space-time quasiconcave solutions of the heat equation, Chuanqiang Chen, Xinan Ma, Paolo Salani.
Time:9:00-12:00

18th Week Schedule List

12.28, Monday at Room 1318, 9:00-12:00
Speaker:Tian Wu
Title :Liouville theorem for a class semilinear elliptic problem on Heisenberg group. Xinan Ma, Qianzhong Ou. 2020.Arxiv.
Time:9:00-10:30

Speaker : Daowen Lin
Tittle:Liouville theorem for a class semilinear elliptic problem on Heisenberg group. Xinan Ma, Qianzhong Ou. 2020.Arxiv.
Time:10:30-12:00

12.29,Tuesday at Room 1318,9:00-12:00
Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:9:00-10:30

Speaker:Xinqun Mei
Title :On space-time quasiconcave solutions of the heat equation, Chuanqiang Chen, Xinan Ma, Paolo Salani.
Time:10:30-12:00

12.31,Thurday at Room 1318,9:00-12:00
Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:9:30-11:30

17th Week Schedule List

12.21, Monday at Room 1318, 9:00-12:00
Speaker:Tian Wu
Title :Review of Yau's conjecture on zero sets of Laplace eigenfunctions. Alexander Logunov, Eugenia Malinnikova.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

12.22,Tuesday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:10:30-12:00

12.14,Thurday at Room 1318,9:00-12:00
Speaker:Xinqun Mei
Title : On space-time quasiconcave solutions of the heat equation, Chuanqiang Chen, Xinan Ma, Paolo Salani.
Time:10:30-12:00

Speaker:Qiqi Zhang
Title :A priori estimates of the degenerate Monge-Ampere equation on Kahler manifolds of non-negative bisectional curvature. Sebastien Picard.
Time:10:30-12:00

15th Week Schedule List

12.07, Monday at Room 1318, 9:00-12:00
Speaker:Tian Wu
Title :Review of Yau's conjecture on zero sets of Laplace eigenfunctions. Alexander Logunov, Eugenia Malinnikova.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

12.08,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Catenoidal layers for the Allen-Cahn equation in bounded domains. Oscar Agudelo, Manuel Del Pino, and Juncheng Wei.
Time:9:00-10:30

Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:10:30-12:00

12.10 ,Thurday at Room 1318,9:00-12:00
Speaker:Xiaohan Jia
Title :Convexity estimates for the solutions of three equations.
Time:9:00-10:30

Speaker:Qiqi Zhang
Title :A priori estimates of the degenerate Monge-Ampere equation on Kahler manifolds of non-negative bisectional curvature. Sebastien Picard.
Time:10:30-12:00

14th Week Schedule List

11.30, Monday at Room 1318, 9:00-12:00
Speaker:Tian Wu
Title :Review of Yau's conjecture on zero sets of Laplace eigenfunctions. Alexander Logunov, Eugenia Malinnikova.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:10:30-12:00

12.01,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Catenoidal layers for the Allen-Cahn equation in bounded domains. Oscar Agudelo, Manuel Del Pino, and Juncheng Wei.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

12.03 ,Thurday at Room 1318,9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

13th Week Schedule List

11.23, Monday at Room 1418, 19:00-22:00
Speaker:Tian Wu
Title : Lecture notes on quantitative unique continuation for solutions of second order elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:19:00-20:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:20:30:22:00

11.24,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Catenoidal layers for the Allen-Cahn equation in bounded domains. Oscar Agudelo, Manuel Del Pino, and Juncheng Wei.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:10:30-12:00

11.26 ,Thurday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

12th Week Schedule List

11.16,Monday at Room 1318, 9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

Speaker:Tian Wu
Title : Lecture notes on quantitative unique continuation for solutions of second order elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

11.17,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Catenoidal layers for the Allen-Cahn equation in bounded domains. Oscar Agudelo, Manuel Del Pino, and Juncheng Wei.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:10:30-12:00

11.19 ,Thurday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

11th Week Schedule List

11.9,Monday at Room 1318, 9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

Speaker:Tian Wu
Title : Lecture notes on quantitative unique continuation for solutions of second order elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

11.10,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Minimal submanifolds from the Abelian Higgs model.
Time:10:30-12:00

11.12 ,Thurday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

10th Week Schedule List

11.2,Monday at Room 1318, 9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

11.4 ,Thursday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

9th Week Schedule List

10,25 ,Sunday at Room 1418,19:00-22:00
Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:19:00-22:00

10.26,Monday at Room 1318, 9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

10. 27,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

8th Week Schedule List

10.19 ,Monday at Room 1318, 18:00-21:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:18:00-19:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:19:30-21:00

10. 20 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

10,22 ,Thursday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

7th Week Schedule List

10.12 ,Monday at Room 1318,9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

10.13 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

10,15 ,Thursday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Xiao Zhou
Tittle: The Christoffel-Minkowski problem. I. Convexity of solutions of a Hessian equation. Invent. Math. 151 (2003), no. 3, 553-577.
Time:10:30-12:00

6th Week Schedule List

9.28 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

9,30 ,Wednesday at Room 1418,9:00-11:30
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time: 09:00-11:30

5th Week Schedule List

9.22 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:10:30-12:00

9,23 ,Thursday at Room 1318,9:00-12:00
Speaker:Jundong Zhou
Title : Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. Invent. Math. Dolbeault, Jean. Esteban, Maria J. Loss, Michael.
Time:9:00-10:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

4th Week Schedule List

9.14 ,Monday at Room 1318, 9:00-12:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:9:00-10:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:10:30-12:00

9.15 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

9,17 ,Thursday at Room 1318,9:00-12:00
Speaker:Jundong Zhou
Title : Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. Invent. Math. Dolbeault, Jean. Esteban, Maria J. Loss, Michael.
Time:9:00-10:30

Speaker : Zhenghuan Gao
Title: Mazzeo, Rafe; Pacard, Frank Constant scalar curvature metrics with isolated singularities. Duke Math. J. 99 (1999), no. 3,353-418.
Time:10:30-12:00

3th Week Schedule List

9.7 ,Monday at Room 1318,14:00-17:00
Speaker:Xinqun Mei
Title : Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:14:00-15:30

Speaker:Tian Wu
Title : Quantitative propagation of smallness for solutions of elliptic equations. Alexander Logunov, Eugenia Malinnikova.
Time:15:30-17:00

9.8 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title :Type II Finite time blow-up for the three dimensional energy critical heat equation.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

9,10 ,Thursday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Zhenghuan Gao
Title: Mazzeo, Rafe; Pacard, Frank Constant scalar curvature metrics with isolated singularities. Duke Math. J. 99 (1999), no. 3,353-418.
Time:10:30-12:00

2th Week Schedule List

9.1 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title : Infinite time blow-up in the Keller-Segel system: existence and stability.
Time:9:00-10:30

Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

9,3, Thursday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

Speaker : Xinqun Mei
Title: Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:10:30-12:00

1th Week Schedule List

8.24 , Monday at Room 1318,9:00-12:00
Speaker:Yitian Zhang
Title : Symmetry results for critical anisotropic p-Laplacian equations in convex domain.
Time:9:00-10:30

8.25 ,Tuesday at Room 1318,9:00-12:00
Speaker:Daowen Lin
Title : Infinite time blow-up in the Keller-Segel system: existence and stability.
Time:9:00-10:30
Speaker:Wangzhe Wu
Title : Complete, Enbedded, Mninial n-Dimentional Submanifolds in \mathbb{C}^{n}.
Time:10:30-12:00

8.27, Thursday at Room 1318,9:00-12:00
Speaker : Zhenghuan Gao
Title:Mazzeo, Rafe; Pacard, Frank Constant scalar curvature metrics with isolated singularities. Duke Math. J. 99 (1999), no. 3,353-418.
Time:9:00-10:20
Speaker : Xinqun Mei
Title: Lewy's harmonic gradient maps in higher dimensions, CPDE. Stewart Gleason, Thomas H.Wolff.
Time:10:30-12:00

Last Term