Seminar on differential equations NMMA431
T. Bárta, P. Kaplický, D. Pražák
Seminar history can be found here.
Topic for fall 2024: classical potential theory
Following Chapters 1, 3 and 6 of the
Classical potential theory by
D. H. Armitage and S. J. Gardiner
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Week 1: 1.1-1.2
Oct 23: 1.3 Poisson formula and consequences --- J. Petr
Oct 30: 1.4-1.5 Harnack inequality and consequences --- M. Katz
Nov 7: 1.6-1.7 Kelvin transform; harmonic functions on half-spaces
Nov 14: 1.8 real-analyticity of harmonic functions
Nov 21: 3.1 Subharmonic functions and their properties --- M. Zelina
Nov 28: Theorem 3.2.2 and corollaries --- J. Petr
Dec 4: seminar is cancelled
Dec 11: 3.6-3.7 Theorems 3.6.2, 3.6.3 --- M. Katz
Dec 18: 3.3-3.5
Jan 8: 6.1-6.3 Resolutivity of continuous functions: Theorem 6.3.8 (on bounded domains) --- M. Zelina