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Potential Theory 1 - NMMA463

Title:	Teorie potenciálu 1
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
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:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Class:	M Mgr. MA M Mgr. MA > Volitelné
Classification:	Mathematics > Differential Equations, Potential Theory
Incompatibility :	NDIR008
Interchangeability :	NDIR008
Is interchangeable with:	NDIR008

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Annotation -

Last update: T_KMA (02.05.2013)

Fundamental facts of classical potential theory are presented.

Literature - Czech

Last update: T_KMA (02.05.2013)

Armitage, D. H.; Gardiner, S. J.: Classical potential theory.

Springer Monographs in Mathematics. Springer-Verlag London, Ltd., London, 2001.

Helms, L. L.: Introduction to potential theory. Reprint of the 1969 edition. Pure and Applied Mathematics, Vol. XXII.

Robert E. Krieger Publishing Co., Huntington, N.Y., 1975.

J. L. Doob: Classical potential theory and its probabilistic counterpart. Springer-Verlag, Berlin, 2001

Syllabus -

Last update: T_KMA (25.04.2013)

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.