Seminar on differential equations NMMA431

T. Bárta, P. Kaplický, D. Pražák

Seminar history can be found here.

Sturm comparison theorems & Sturm-Liouville theory (LS 2026)

Selected parts from Chapter XI of Ordinary differential equations by Ph. Hartman [pdf]

Rozdělení referátů:

  1. Basic Facts ..... T. Bárta
  2. Theorems of Sturm (s. 333-337, Sekce 3) ..... L. Wintrová
  3. Sturm-Liouville Boundary Value Problem (s. 337-344, Sekce 4) ..... P. Velyčko
  4. Sturm-Liouville BVP as a special case of Hilbert-Schmidt Theorem ..... P. Kaplický
  5. Number of Zeros (s. 344-350, Sekce 5) ..... M. Döme

2. Reaction-diffusion equations and Turing patterns

Following Chapter 2 of Mathematical biology II (by J.D. Murray, 2003) and also the paper by Conway, Hoff and Smoller (SIAM J. Appl. Math. 1978) [pdf] [pdf]

3. Maximal regularity for Laplace equation in C^\alpha spaces

Will be mainly based on: Elliptic partial differential equations of second order by D. Gilbarg and N. S. Trudinger (Springer 2001).