Tentative Calendar for TMA4305 Partial Differential Equations.
| Week | Dates | Chapter/Section | Subject | Remarks |
| 2 | 10.1, 11.1 | 1.1a,b,c,d | 1st order PDE | We skip section 1.1e |
| 3 | 17.1, 18.1 | 1.2 (all); 2.1a | |
In 2.1a we skip Example 2. |
| 4 | 24.1, 25.1 | 2.1b; 2.2a,b,c | Higher order PDE: General principles | |
| 5 | 31.1, 1.2 | 2.3a,b,c; | Weak solutions of linear PDEs
Distributions | |
| 6 | 7.2, 8.2 | 2.3 d
3.1 a,d; 3.2a,b; |
Fundamental solutions
Wave equation | We skip p. 70 |
| 7 | 14.2, 15.2 | 3.2:c,d,(e); 3.3a,b; 3.4:a,b,(c) |
Wave equation, dispersive equations | Homework: 3.2:e, 3.4:c |
| 8 | 21.2, 22.2 | 4.1, 4.2 a | Laplace equation | |
| 9 and 10 | 25.2.–7.3. |
| | Tiltaksuker, no lectures
Problems will be given. |
| 11 | 13.3., 14.3. | 4.2 b - e | Laplace
equation | Section 4.2.f: skip Theorem 10. |
| 12 | 17.3.– 25.3. | | | Easter
holidays |
| 13 | 27.3., 28.3. | 4.2f, 4.3 | Laplace
equation | We skip Section 4.3.c |
| 14 | 3.4., 4.4. | 4.4, 5.1, 5.2a,b,d, 5.3a |
Heat equation | In 5.2.d we skip Thm. 2.
In 5.3.a we
skip the proof |
| 15 | 10.4., 11.4. | 5.3b;
6.1 a, b, c, d;
6.2 a | Heat equation;
Lp and Sobolev
spaces,
Poincare inequality | In 6.1 d we skip Thm. 2 and
Corollary |
| 16 | 17.4., 18.4. | 6.2 a, c, d
Parts of 6.3
and 6.5 | Weak
solutions of Dirichlet problem for elliptic
equations. Lax-Milgram Theorem
Weak convergence and compactness
results | |
| 17 | 24.4., 25.4. | 7.1 a-d |
Variational
methods | |
| 18 | 2.5. | 7.1 a-d | Exercises + Summary -
About Exam | No lecture May 1st |
| 19 | 7.5. | No lecture | | Lecture on Wednesday! |
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