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Potential Theory I - NDIR008

Title:	Teorie potenciálu I
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2013 to 2021
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Class:	DS, matematická analýza
Classification:	Mathematics > Differential Equations, Potential Theory
Interchangeability :	NMMA463
Is incompatible with:	NMMA463
Is interchangeable with:	NMMA463

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Annotation -

Last update: prof. RNDr. Ivan Netuka, DrSc. (19.04.2007)

Fundamental facts of classical potential theory are presented. Knowledge of mathematical analysis from the first two years of study is required.

Syllabus -

Last update: NETUKA/MFF.CUNI.CZ (04.03.2009)

Harmonic and hyperharmonic functions; minimum principle; Poisson integral; mean-value property and its converse; Harnack convergence theorems, Harnack's inequalities; Newtonian and logarithmic potentials; Brownian semigroup; excessive functions; the Dirichlet problem.