Partial Dierential Equations, Spring 2010
Stanford University course 256A
HW 1:
1. Simon, lecture 2, problem 2.7.
2. Evans (2nd Edition): p. 162164, problems 5,6,7,17,18,19,20.
3. Give a detailled explanation for the integration by parts argument in the p
Partial Dierential Equations, Spring 2010
Stanford University course 256A
HW 4:
1. (Adapted from Evans problem 9, p. 605.) A yacht, called Y2 , whose initial position is (0, x2 ) R2 starts
in pursuit of another yacht, called Y1 , whose initial position is
Partial Dierential Equations, Spring 2010
Stanford University course 256A
HW 2:
1. Evans (2nd Edition): pp. 244249, problems 1,2,3,7,8,9,19.
2. If you are interested in problem 2 (pp. 244245): read Hadamards original note from 1902 (please e-mail
me for a
Partial Dierential Equations, Spring 2010
Stanford University course 256A
HW 3:
The purpose of this homework is to ll in the details in the proof presented in class of the C 2, ( ) regularity
of solutions to the Poisson equation u = F with F C (), with .
Partial Dierential Equations, Spring 2010
Stanford University course 256A
HW 5:
Let U R2 be a domain and let x = x(u, v ) : U R3 be an embedding. Consider now a Riemannian metric
g0 = E (u, v )du du + F (u, v )du dv + G(u, v )dv dv on U . We will say that
Luke Smith
Bushkill Project
Thursday morning lab
May 5, 2016
The Bushkill Watershed encompassed much of the real estate stretching from
the Blue Mountains up in Northampton County, all the way down to our very city of
Easton. In the upper half of the wate