teaching activity

Office hours:

Thursday from 12 to 13 third floor, ingeneering buiding. Friday from 14.30 to 16 third floor, ingeneering building

Schedule:

september 22, 26, 29: lesson made by prof. Citti
october 3, 6, 10, 13: lesson made by prof. Ferri
october 17, 20, 24, 27: lesson made by prof. Citti
october 31, november 3, 7, 10 lesson made by prof. Ferri
november 14, 17, 21 lesson made by prof. Citti
november 24, 28 lesson made by prof. Ferri
December 1: lesson made by prof. Citti
December 5 - 19 lesson made by prof. Ferri

Exam: as discussed in class,
it is possible to take the written exam on december 21, at 13,30 room 2.4
it is possible to take the written or the oral exam on december 22, at 14,00 Math dep
oral exam on january 10 (the place will be posted on this site)
written exam: january 20, at 13,30 engineering building
oral exam on january 24 (the place will be posted on this site)
written exam: february 10, at 13,30 engineering building
oral exam on february 14 (the place will be posted on this site)

Program of the course

oral examination a.a. 2009-2010
oral examination a.a. 2010-2011

Notes and suggested reading

Linear first order Partial Differential Equations
- Notes

Quasi linear first order Partial Differential Equations
- Notes
- For a more detailed presentation also refer to:
  Chapter 3 in http://www.stanford.edu/class/math220a/lecturenotes.html
  3.1 Motivation
  3.2 Weak solutions

Wave equation in R: Chapter 5 in http://www.stanford.edu/class/math220a/lecturenotes.html
- 5.2: general solution for Wave Equation in R
- 5.3: Initial value problem (d'Alambert's formula
- 5.4: Energy methods
  5.4.1: Domain of dependence
  5.4.1: Energy and Domain of dependence
- 5.5: Wave with a Source

Wave Equation in Higher Dimensions: Chapter 7 in http://www.stanford.edu/class/math220a/lecturenotes.html

Heat equation:
- Derivation and the most common boundary conditions Chapter 2.1 in http://www.stanford.edu/class/math220b/lecturenotes.html
- the Fundamental solution The presentatino made in class does not involve the Fourier transform
- Inhomogeneous Heat Equation Chapter 2.7 in http://www.stanford.edu/class/math220b/lecturenotes.html
- Maximum Principle and Uniqueness of Solutions Chapter 2.8 in http://www.stanford.edu/class/math220b/lecturenotes.html

Other Suggested texts

P. Drabek, G. Holubova: Elements of Partial Differential Equations, de Gruyter

Suggested exercices

exercices on first order PDE
solved exercices on first order PDE:
C. Constanda: Solution techniques for elementary PDE - chapter 12
available at the library of Dept of Mathematics, Piazza di Porta S. Donato 5
notion of weak solution
classification of second order PDE
Minima of functionals

Results of written test

Results of oral: please check prof. Ferri web page