Summer 2013

Differential Equations III

PD Dr. Pavel Gurevich

Recitation session: Eyal Ron

Schedule, Summer 2013

Lecture:

Thursday 10.15-12:00, Arnimallee 3, SR 119

Recitation session:

Friday, 10.15-12.00, Arnimallee 3, SR 130

Topics

This course will mainly deal with semigroup theory for differential equations. The contents is as follows:

1. Semigroup theory
2. Semilinear parabolic equations: dynamical viewpoint

Literature

1. D. Henry. Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics. Vol 840. Berlin-New York, Springer. 1981.
2. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Appl. Math. Sci., vol. 44, Springer, New York, 1983.
3. K. Yosida. Functional Analysis. Berlin-Heidelbert-New York, Springer. 1980.

Homework assignments, Summer 2013

1. First assignment, discussion date: April 19, 2013, at 10:00 (PDF)
2. Second assignment, discussion date: April 26, 2013, at 10:00 (PDF)
3. Third assignment, discussion date: May 03, 2013, at 10:00 (PDF)
4. Fourth assignment, discussion date: May 17, 2013, at 10:00 (PDF)
5. Fifth assignment, discussion date: May 24, 2013, at 10:00 (PDF)
6. Sixth assignment, discussion date: May 31, 2013, at 10:00 (PDF)
7. Seventh assignment, discussion date: June 07, 2013, at 10:00 (PDF)
8. Eighth assignment, discussion date: June 14, 2013, at 10:00 (PDF)
9. Ninth assignment, discussion date: June 21, 2013, at 10:00 (PDF)
10. Tenth assignment, discussion date: June 28, 2013, at 10:00 (PDF)
11. Eleventh assignment, discussion date: July 5, 2013, at 10:00 (PDF)

Exam

1. The exam will take place July 11, 10:00, at Arnimallee 3, SR 119. Good luck!
2. Questions
3. Results of the first exam
4. The second exam will take place on October 21, 10:00-12:00, at Arnimallee 3, SR 130. Good luck!
5. Results of the second exam