Some earlier exams
Topics in PDE: proposals
Christer Kiselman, PDE 2005
Michael Melgaard, PDE 2007
Vladimir Tkachev's Homepage
Matematisa institutionen, UU
1TT462 Partiella differentialekvationer (6.0 hp)
1MA054 Partiella differentialekvationer, fortsättningskurs (5.0 hp)
Lorentz attractor © http://en.wikipedia.org/wiki/Lorenz_attractor
[E] Lawrence C. Evans. Partial Differential Equations, AMS, Providence, RI.
Series: Graduate Studies in Mathematics, Vol. 19, 1998.
[M] Robert C. McOwen, Partial Differential Equations, Methods and Applications,
Prentice Hall/Pearson Education, Inc., 2003 (Second Edition)
Goals of the course.
The course aims at developing the theory for hyperbolic, parabolic,
and elliptic partial differential equations in connection with physical problems.
Main themes are well-posedness of various initial-value or boundary-value problems,
as well as properties of solutions to the wave equation, the heat equation, and the Laplace equation.
Classification of second order equations
The maximum principle
Linear elliptic equations
Energy methods for Cachy problems for parabolic and hyperbolic equations
Systems of conservations laws
Lectures and problem solving sessions.
Written and, possibly, oral examination at the end of the course.
Moreover, compulsory assignments may be given during the course.