A Sumerian tablet MS 2192: Triangles with area between them divided into 3 equally shaped trapezoids
Jump to:
Vladimir Tkachev's Homepage
Matematisa institutionen, UU
FMB
Schemasökning, UU
Back


Lecture notes and materials

20080901:
Introduction. Derivation of the heat equation.

20080902:
Characteristics. Quasilinear equations. Burgers' equation.

20080903:
Nonlinear 1st order equations. Envelopes. Examples.

20080904:
Problem session, I

20080905:
Higher order PDE. Canonical form. Examples.

20080908:
The wave equation, I.

20080909:
The wave equation, II: reflection method and nonhomeogeneous case.

20080910:
The wave equation, III: Spherical means and higher dimensional representations.

20080917:
canceled

20080918:
The Laplace and Poisson equations, I.

20080919:
The Laplace and Poisson equations, II.

20080922:
Green's function

20080923:
Problem session, II

20080924:
Functional spaces

20080925:
Sobolev spaces I: Distributions and weak derivatives

20080930:
Sobolev spaces II: Weak problems. Poincare inequality.

20081007:
Sobolev spaces III: Sobolev inequalities. Sobolev embedding theorems.

20081007:
Problem session, III

20081009:
Maximum principles

Solutions to problem session III (part I)
Beta (list of some formulas you can use at exam)
