Partial Differential Equations (Master, Fall 2008)
Grades are available. Email Martijn Zaal, email: mzl400@few.vu.nl
Syllabus:
Regular class: Tuesdays 14:00 - 16:45 (VU)
Lecture rooms: S205, FEW Building, VU.
Teaching assistent:
Martijn Zaal, email: mzl400@few.vu.nl
Office hours: Tuesday: 13:15-14:00 and
Thursday: 14:00-16:00.
Book:
Partial Differential Equations, L.C. Evans, AMS, ISBN 0-8218-0772-2.
Assignments (mandatory) :
- Assignment I: Problem 1, Sect. 2.5 Problem 1, page 85 (Evans), due Tuesday September 16, pdf-file.
- Assignment II: Problem 2, due Tuesday September 30, pdf-file.
- Assignment III: Problems 6, Sect. 5.10, page 290 (Evans), EXTENDED to
Tuesday October 21, pdf-file.
- Assignment IV: due
Tuesday October 28, pdf-file.
- Assignment V: due
Tuesday November 4, pdf-file.
- Assignment VI: Evans page 313, due
Tuesday November 18, pdf-file.
- Assignment VII: due
Tuesday December 9, pdf-file.
Exams: Final grade by assignments.
Material covered in the course:
9 September:
- Chapter I, Sect's 1.1 - 1.4, pages 1 - 13.
- Chapter II, Sect. 2.1, 2.2 (2.2.1), pages 14 - 25.
16 September:
- Chapter II, Sect. 2.2 (2.2.4), pages 33 - 41.
23 September:
- Chapter II, Sect. 2.3 (2.3.1), pages 44 - 51.
- Chapter II, Sect. 2.4 (2.4.1), pages 67 - 69, Sect. (2.4.2), pages 81 - 82.
- Chapter II, additional notes on Green's identities and Green's functions.
30 September:
- Chapter V, Sect. 5.1, 5.2, pages 239 - 249.
7 October:
- Chapter V, Sect. 5.3, 5.4, pages 254 - 257.
14 October:
- Chapter V, Sect. 5.5, 5.6, 5.7, pages 257- 274.
21 October:
- Chapter VI, extra: symbols, principal symbols and ellipticity.
- Chapter VI, Sect. 6.1, 6.2, pages 293 - 300.
28 October:
- Chapter VI, Sect. 6.2 (6.2.1, 6.2.2), pages 297 - 302.
4 November:
- Chapter VI, Sect. 6.2 (6.2.3) and Sect. 6.3 (6.3.1) pages 303 - 313.
11 November:
- Chapter VI, Sect. 6.3 (6.3.1) pages 313 - 3.16, read Sect. 6.3 (6.3.2) pages 316 - 326.
- Chapter VII, Sect. 7.4 (7.4.1), pages 413 - 418.
18 November:
- Discussion of assignment V and Neumann boundary value problems,
exercises (pdf).
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