Variational Methods

Type of study	Follow-up Master
Language of instruction	English
Code	470-4114/02
Abbreviation	VM
Course title	Variational Methods
Credits	6
Coordinating department	Department of Applied Mathematics
Course coordinator	prof. RNDr. Jiří Bouchala, Ph.D.

Osnova předmětu

Lebesgue Integral.
Lebesgue Spaces.
Distributions.

Sobolev Spaces.
Trace Theorem.

Weak Solutions of Boundary Value Problems.
Lax Milgram Theorem.
Existence and Uniqueness of Weak Solutions.
Regularity of Weak Solution.

Energy Functional.
Ritz and Galerkin Methods.

E-learning

https://homel.vsb.cz/~bou10/

Povinná literatura

M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer-Verlag, New York, 1993.
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.

Doporučená literatura

E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.

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