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. |
Subject syllabus
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.
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
Literature
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.
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.
Advised literature
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.