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Lecturer(s)
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Valentová Ivana, doc. Ing. Ph.D.
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Course content
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Week 1-3: variational formulation of nonlinear boundary value problem, comparison with topological methods Week 4-9: global minimum, mountain-pass, saddle point, general minimax, existence of critical point Week 10-13: examples and numerical approach
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Learning activities and teaching methods
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Task-based study method, Seminar
- Graduate study programme term essay (40-50)
- 40 hours per semester
- Contact hours
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| Students should be familiar with the theory of functional analysis to the extent of the courses KMA/ UFA or KMA/FA. |
| learning outcomes |
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| By the end of the course, a successful student should be able to use basic variational methods and apply theoretical tools to real problems. |
| teaching methods |
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| Seminar |
| Task-based study method |
| assessment methods |
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| Skills demonstration during practicum |
| Seminar work |
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Recommended literature
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Schechter, Martin. An introduction to nonlinear analysis. 1st ed. Cambridge : Cambridge University Press, 2004. ISBN 0-521-84397-9.
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Struwe, Michael. Variational methods - Applications to nonlinear partial differential equations and Hamiltonian systems. Springer-Verlag Berlin Heidelberg, 2008. ISBN 978-3-540-74012-4.
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