TMA4305 Partial Differential Equations - Fall 2023

• Peter Lindqvist
• Office 1129, Sentralbygg 2
• Office hours: by appointment
• (Harald Hanche-Olsen lectured week 43 and 44)

He who can, does. He who cannot, teaches. (G. B. Shaw)

• Tuesday 14:00-16:00 VA2
• Friday 10-12 K26

Activity is the only road to knowledge. (G. B. Shaw)

• Wednesday 10:00-11:00 in El4.
• A problem set will be given each week.
• The problem sets will be supervised in the exercise class. They are part of the curriculum, but are not required to be handed in.
• In general the exercise class is the right place to
  • get help with the problem sets
  • discuss and ask questions about the material covered in the course

• Main book: David Borthwick: Introduction to Partial Differential Equations.
  • A current list of errata is available here
  • Note that you can get the PDF from Springerlink (you must be inside the NTNU network, either physically or via VPN, to get it).
  • I might supplement this book with a few notes and material from other sources.
• Some other good PDE books:
  • P. Olver: Introduction to Partial Differential Equations, Springer.
  • S. Salsa: Partial Differential Equations in Action, Springer.
  • L. C. Evans: Partial Differential Equations, AMS. [Advanced]
  • J. D. Logan: An Introduction to Nonlinear Partial Equations. [Easy to read. Many "new" Equations.]
  • W. Strauss: Partial Differential Equations. [An elementary f i r s t introduction. Examples]

From Borthwick's book (see further below for bibliographic detail) – but note that the introductory sections on model problems for the various equations are for information only; you are not expected to have detailed knowledge of these models or how they are derived.

• Ch 1 (self study)
• Ch 2 (background material for much of the book)
• Ch 3
• Ch 4
• Ch 6
• Ch 7 (background material, no proofs)
• Ch 9
• Ch 10 (10.4 without proof)
• Ch 11 (Not 11.4. And 11.6 without proof)
• Ch 12

In addition:

• The exercises
• Notes by Harald Hanche-Olsen
  • First order quasilinear equations: A5 for the screen, A4 for printing
  • Weak maximum principle for the heat equation: A5 for the screen, A4 for printing
  • Harmonicfunctionology: A5 for the screen, A4 for printing
• Chapter 4.4 in P. Olver: Introduction to partial differential equations, Springer.

Note: The notes and the material from other sources might overlap with Borthwick's book.

• If you have any remarks, request, complaints etc. regarding this course, contact the lecturer or the reference group. More members are welcome.

• Ellen Skrimstad …. ellenskr@stud.ntnu.no
• Torgeir Lysen …. torgeikl@stud.ntnu.no
• Olav H. Haaland …. olavhha@stud.ntnu.no

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• 1. møte: 29 September 2023 Report
• 2. møte: 24 November 2023 Report

• Dato: 12.12.2023
• classical written exam, 4 hours
• Support material code C: Specified printed and hand-written support material is allowed. A specific basic calculator is allowed.
  • One yellow, stamped A4 sheet with own, handwritten formulas and notes (on both sides). Such sheet can be picked up outside the department office in the 7th floor, SBII.
  • No other printed or hand-written support material is allowed.
• Since the course was taught in English, the exam will be given only in English. Students are free to answer in Norwegian or English.