NB! The first lecture in January: Tuesday, January 16, 10.15, MH:143, seminar: Wednesday, January 17, 10.15 MH:229
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.

The course will be given in English and Swedish

Practical Information

• 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)

The following materials have been distributed during the course

• 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

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  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