**Schedule**

- Wed, Dec 3:
*Gradient Estimates for Poisson Equation*(Brian Moehring, Yang Zhang) - Fri, Dec 5:
*Interpolation Inequalities*(Jacob Shapiro, Qinfeng Li) - Mon, Dec 8:
*Trace Theorem*(Yangfan Liu, Ngai Fung Ng) - Wed, Dec 10:
*Oblique Derivative Problem*(Andrew Zeller, Daesung Kim) - Fri, Dec 12:
*Lipschitz Functions and $W^{1,\infty}$*(Jian Zhai, Yue Zhao)

**Topics**

*Gradient Estimates for Poisson Equation:*[GT] Sec 3.4*Interpolation Inequalities:*[GT] Sec 6.8*Trace Theorem:*[A] 5.20-5.22 (and 6.1-6.8); see also [E] Sec 5.5*Oblique Derivative Problem:*[GT] Sec 6.7 (Poisson Equation only)*Lipschitz Functions and $W^{1,\infty}$:*[E] 5.8.2-5.8.3

*References*

[A] R. Adams,

*Sobolev Spaces*

[GT] D. Gilbarg, N.S. Trudinger,

*Elliptic Partial Differential Equations of Second Order*, 2nd ed.

[E] L.C. Evans,

*Partial Differential Equations*, 2nd ed.