Partial Differential Equations (Master, Fall 2007)
Syllabus:
Regular class: Tuesdays 14:00 - 16:45 (UvA)
Lecture rooms: P0.19 Euclides Building, UvA.
Teaching assistent:
Miroslav Kramar, email: mkramar@few.vu.nl
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 18, pdf-file.
- Assignment II: Problem 2, due Tuesday October 2, pdf-file.
- Assignment III: Problems 6 and 8, Sect. 5.10, page 290 (Evans), due
Tuesday October 9, pdf-file.
- Assignment IV: Problems 18, Sect. 5.10, page 292 (Evans), due
Tuesday October 30, pdf-file.
- Assignment V: Problems 2, Sect. 6.6, page 345 (Evans), due
Tuesday November 13, pdf-file.
- Assignment VI: Evans page 313, due
Tuesday November 27, pdf-file.
- Assignment VII: due
Tuesday December 11, pdf-file.
Exams: Final grade by assignments.
Material covered in the course:
11 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.
18 September:
- Chapter II, Sect. 2.3 (2.3.1), 2.4 (2.2.4a), pages 44 - 51 and 65 - 68.
- Chapter II, additional notes on Green's identities and Green's functions.
25 September:
- Chapter II, Sect. 2.2 (2.2.4), 2.3 (2.3.1c), pages 33 - 36 and 49 - 51.
- Chapter II, additional notes on Green's identities and Green's functions.
2 October:
- Chapter V, Sect. 5.1, 5.2, 5.3, pages 239 - 254.
9 October:
- Chapter V, Sect. 5.4, 5.5, 5.6, 5.7, pages 254 - 274.
16 October:
- Chapter VI, extra: symbols, principal symbols and ellipticity.
- Chapter VI, Sect. 6.1, 6.2, pages 293 - 298.
30 October:
- Chapter VI, Sect. 6.2 (6.2.1, 6.2.2), pages 297 - 302.
6 November:
13 November:
- Chapter VI, Sect. 6.2 (6.2.3) read, pages 302 - 307, Sect. 6.3 (6.3.1) pages 308 - 314.
20 November:
- Chapter V, Sect. 5.9 (5.9.1) pages 283 - 284.
- Chapter VI, Sect. 6.3 (6.3.2) pages 314 - 326, Sect. 6.5 (6.5.1) pages 334 - 336.
- Chapter VII, Sect. 7.1 (7.1.1) pages 349 - 352.
27 November:
- Chapter VII, Sect. 7.1 (7.1.2) pages 352 - 358, read 7.1.3 pages 358 - 367.
Return
to Robert VanderVorst's Home Page.