75042 PDEs: Exercises

1st problem set: 1996-08-28

From the notes (Elements of mathematical analysis): Exercises 2, 3, 4, 5, 12, 13, 15, 16, 23. (I know, some of those are not labeled «exercise», but are Propositions, Lemmas, even a Theorem! This means you should fill in the missing proofs or, in the case of Theorem 13, the missing details. This looks like a lot of exercises, but most of them should only take you a few minutes each.)

Solutions as a DVI file or a PostScript file.

2nd problem set: 1996-09-04

From the notes: Exercises 24, 27. Plus an extra problem on the Laplacian in the unit disk in the plane; details at the end of the solutions to the 1st problem set, see above.

Solutions as a DVI file or a PostScript file (a boring calculation was done in this Maple worksheet).

3rd problem set: 1996-09-11

Solutions as a DVI file or a PostScript file

4th problem set: 1996-09-18

Solutions as a DVI file or a PostScript file

5th problem set: 1996-09-25

Solutions as a DVI file or a PostScript file

6th problem set: 1996-10-02

Solutions as a DVI file or a PostScript file

7th problem set: 1996-10-09

Solutions as a DVI file or a PostScript file (the PS file is complete, while the DVI file uses this PostScript figure)

8th problem set: 1996-10-16

Solutions as a DVI file or a PostScript file

9th problem set: 1996-10-23

Solutions as a DVI file or a PostScript file

10th problem set: 1996-10-30

Solutions as a DVI file or a PostScript file (the PS file is complete, while the DVI file uses this PostScript figure as well as this one)

11th problem set: 1996-11-06

Solutions as a DVI file or a PostScript file. If you think the layout is strange, you're quite right. The open spaces are for hand-drawn pictures which are not available online.

12th (and last) problem set: 1996-11-13

Solutions as a DVI file (requires this, this, and this PostScript figure) or a PostScript file.