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.
Terminated in academic year 2020/2021
Variational Methods
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 470-4114/03 |
| Abbreviation | VM |
| Course title | Variational Methods |
| Credits | 4 |
| 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.
Literature
Advised literature
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.