The other lectures and seminars will be on on Wednesdays at 10.15 in MH:229 and on Thursdays at 10.15 in MH:C.

**Course coordinator:**

Pavel Kurasov: e-mail: kurasov@maths.lth.se, tel 2224440.**Teaching:**

Teaching period 2: Lectures: Wednesdays 13.15-15.00 in MH333, Seminars: Fridays 13.15-15.00 in MH333**Recommended education:**

Basic courses in mathematics including the first course in partial differential equations. Current course is connected with the course "Functional and Harmonic Analysis" given during the teaching periods 1-2.

**Literature:**- Griffel: Applied Functional Analysis.
- lecturer notes and seminar notes (distributed by the lecturer).
- Additional materials:
R.Strichartz

A guide to distribution theory and Fourier transforms

(any available edition)

**Buy now**L.Hörmander

The Analysis of Linear Partial Differential Operators I

Distribution Theory and Fourier Analysis

(any available edition)

(from 1990 the book contains exercises)**Buy now**

**Preliminary plan:**- Distribution theory (weeks 1-9)
- PDE: spectral methods (weeks 10--14)

**27 oct:**Lecture 1 "Introduction, Basic Definitions"- The course programm
- Lecture notes
- Exercise book

**31 oct:**Lecture 2: "Distributions and functions. Operations with distributions."**3 nov:**Seminar 1**7 nov:**Seminar 2**OBS! RUM MH:332a, 13:15-15:00****8 nov:**Lecture 3 "Structure of distributions in one variable I"-
**OBS! No seminar on November 10** **14 nov:**Seminar 3**OBS! RUM MH:332a, 13:15-15:00****15 nov:**Lecture 4: "Structure of distributions in one variable II"

Assignment 1 To be returned by: November 29, 2006**17 nov:**Seminar 4**22 nov:**Lecture 5: "Structure of distributions in one variable III"**24 nov:**Seminar 5**29 nov:**Lecture 6: "Distributions in several variables"**1 dec:**Seminar 6**6 dec:**Lecture 7: "Convolution of distributions"

Assignment 2 To be returned by: January 16, 2007**8 dec:**Seminar 1-6, Assignment 1

Lectures and seminars will be on on Wednesdays at 10.15 in MH:229 and on Thursdays at 10.15 in MH:C. Welcome!**16 Jan:**Lecture 8: "Fourier transformation of distributions"**17 Jan:**Seminar 7**24 Jan:**Lecture 9: "Fourier transformation of periodic distributions I"**25 Jan:**Seminar 8**31 Jan:**Lecture 10: "Fourier transformation of periodic distributions II"**1 Feb:**Seminar 9**6 Feb:**Lecture 11: "Sobolev inequalities, Sobolev spaces and embedding theorems"**7 Feb:**Seminar 10

Assignment 3 To be returned by: March 1, 2007**14 Feb:**Lecture 12: "The Laplace operator and Dirichlet problem"**15 Feb:**Seminar 11**21 Feb:**Lecture 13: "Parabolic equations"**22 Feb:**Seminar 12**28 Feb:**Lecture 14: "Hyperbolic equations"**1 Mar:**Seminar 13

See also information about the course given last year on: