課程說明(Course Description):
帶領學生研讀幾何分析的重要問題、理論與其應用。
研讀相關論文,訓練學生思維能力。

We study Gradient Estimates,Harnack Inequalities,Heat Kernel,Harmonic Functions on Riemannian Manifolds.

References:
Warner: Foundations of Differential Manifolds and Lie Groups.
Do Carmo: Riemannian Geometry.
Jost: Riemannian Geometry and Geometric Analysis.
R. Courant and D. Hilbert: Methods of Mathematical Physics. Vol. I and II.
F. John: Partial Differential Equations. 4th Edition.
L. Evans: Partial Differential Equaitons.