Math 541 Partial Dierential Equations II
Homework 10: Due Monday, December 6 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems that are not labeled as suggested. The suggested
problems will not be graded, but students are still encouraged t
Math 541 Partial Dierential Equations II
Homework 7: Due Friday, November 5 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems. Working together in groups is HIGHLY suggested,
although each person from the group must submit their own solutio
Math 541 Partial Dierential Equations II
Homework 2: Due Wednesday, September 15 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems that are not labeled as suggested. The suggested
problems will not be graded, but students are HIGHLY encoura
Math 541 Partial Dierential Equations II
Homework 4: Due Friday, October 1 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems. Working together in groups is HIGHLY suggested,
although each person from the group must submit their own solution
Math 541 Partial Dierential Equations II
Homework 8: Due Monday, November 15 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems. Working together in groups is HIGHLY suggested,
although each person from the group must submit their own soluti
Math 541 Partial Dierential Equations II
Homework 9: Due Tuesday, November 23 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems. Working together in groups is HIGHLY suggested,
although each person from the group must submit their own solut
Math 541 Partial Dierential Equations II
Homework 5: Due Monday, October 11 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems. Working together in groups is HIGHLY suggested,
although each person from the group must submit their own solutio
Math 541 Partial Dierential Equations II
Homework 6: Due Friday, October 22 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems that are not labeled as suggested. The suggested
problems will not be graded, but students are still encouraged to
Math 541 Partial Dierential Equations II
Homework 1: Due Wednesday, September 8 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems that are not labeled as suggested. The suggested
problems will not be graded, but students are still encourage
Math 541 Partial Dierential Equations II
Homework 3: Due Friday, September 24 at 5pm
Fall 2010 Section 16457
Turn in solutions to all problems. Working together in groups is HIGHLY suggested,
although each person from the group must submit their own solut
Math 541 Partial Dierential Equations II
Homework 11: Due Friday, December 10 at 5pm
Fall 2010 Section 16457
Turn in solutions to problem #1. Problems 2-4 may be turned in for extra credit, worth
5 points each. Working together in groups is HIGHLY suggest
Math 541 Final Exam: Solutions
December 17, 2010
Answer problems #1 and #2 and any two of the problems 3-5. Please clearly
indicated which problems you want graded, and please start each new
problem on a new sheet of paper.
Name:
1. (20 points) Let U Rn b
Math 541 Partial Dierential Equations II
Midterm Exam: Due Friday, October 15 at 5pm
Fall 2010 Section 16457
DIRECTIONS: You must answer both questions on this exam. You may use
any notes youve taken in class, any notes I have posted on the course web sit
Math 541 Partial Dierential Equations II
Midterm Exam: Solutions
Fall 2010 Section 16457
DIRECTIONS: You must answer both questions on this exam. You may use
any notes youve taken in class, any notes I have posted on the course web site
(including solutio
Notes on the Spectral Theorem Applied to the Dirichlet Case
In this note I want to make some minor corrections to my proof of the following theorem.
Theorem 1. Let U Rn be open and bounded and consider the uniformly elliptic, symmetric, dierential operato
Math M541 Partial Differential Equations 2
Fall 2010
Section 16457, 10:10-11:00 MWF, BH 331
Instructor: Mathew A. Johnson
Ofce: 309 Rawles Hall
E-mail: matjohn@indiana.edu
Webpage: http:/mypage.iu.edu/matjohn
Course Outline: We develop the modern framewor
Notes on Poincar Type Inequalities
e
My goal here is to clear up any confusion which may have arisen through our discussion
of the Poincar inequality and its generalizations. First o, it was pointed out to me that,
e
n is bounded and open, the Poincar ine
Math 541 Partial Dierential Equations II
Possibly Useful Textbooks
Fall 2010 Section 16457
Below is a list of books that may be useful at various points throughout the semester. This
is by no means a list of books I expect you to purchase, but this should