Variational Methods for Engineers

Type of study	Doctoral
Language of instruction	Czech
Code	470-6102/01
Abbreviation	VM
Course title	Variational Methods for Engineers
Credits	10
Coordinating department	Department of Applied Mathematics
Course coordinator	prof. RNDr. Jiří Bouchala, Ph.D.

Subject syllabus

1. Lebesgue integral.
2. Lebesgue spaces L^p(Omega).
3. Lipschitz domains.
4. Distributions.
5. Sobolev spaces.
6. The Trace Theorem.
7. Weak solutions of BVP.
8. Existence and uniqueness of weak solutions.
9. Regularity.
10. Energy functional.
11. Spectrum.
12. Methods od discretisation.

Literature

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

Advised literature

M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer-Verlag, New York, 1993.

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