Partial Differential Equations (Master, Spring 2010)
Grades are available. Email Simone Munao, email: smunao@few.vu.nl
Syllabus:
Regular class: Wednesday 14:00 - 16:45 (VU)
Lecture rooms: M639, FEW Building, VU.
Teaching assistent:
Simone Munao, email: smunao@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 Wednesday Februari 17, pdf-file.
- Assignment II: Problem 2, due Wednesday March 3, pdf-file.
- Assignment III: Problems 3, due Wednesday March 17, pdf-file.
- Assignment IV: due
Wednesday April 7, pdf-file.
- Assignment V: due
Wednesday April 28, pdf-file.
- Assignment VI: Evans page 313, due
Wednesday May 26, pdf-file.
Exams: Final grade by assignments.
Material covered in the course (tentative):
February 10:
- Chapter I, Sect's 1.1 - 1.4, pages 1 - 13.
- Chapter II, Sect. 2.1, 2.2 (2.2.1), pages 14 - 25.
February 17:
- Notes on Green's identities and Green's functions.
February 24:
- Notes on symbols, distributions and fundamental solutions.
March 3:
- Fourier transforms and fundamental solutions.
- Chapter V, Sect. 5.1, 5.2, pages 239 - 249 (Sobolev spaces).
March 10:
- Chapter V, Sect. 5.3, 5.4, pages 254 - 257.
March 17:
- Chapter V, Sect. 5.5, 5.6, 5.7, pages 257- 274.
March 24:
- Chapter VI, extra: symbols, principal symbols and ellipticity.
- Chapter VI, Sect. 6.1, 6.2, pages 293 - 300.
March 31:
- Chapter VI, Sect. 6.2 (6.2.1, 6.2.2), pages 297 - 302.
April 7:
- Chapter VI, Sect. 6.2 (6.2.3).
- Higher order elliptic equations.
April 14:
- Chapter VI, Sect. 6.3 (6.3.1) pages 313 - 3.16, read Sect. 6.3 (6.3.2) pages 316 - 326.
April 21:
- Chapter VII, Sect. 7.4 (7.4.1), pages 413 - 418.
April 28:
- Chapter VII, Sect. 7.4 (7.4.1), pages 413 - 418.
April 21:
- Chapter VII, Sect. 7.4 (7.4.1), pages 413 - 418.
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