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Last update: T_KMA (14.05.2013)
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Last update: T_KMA (13.05.2013)
We intend to pique interest of students in beautiful and difficult branch of mathematics and to learn students some of the classical methods of theory of partial differential equations. |
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Last update: doc. Mgr. Petr Kaplický, Ph.D. (19.10.2020)
Předmět nemá zápočet. Na konci se skládá zkouška. Zkoušet se bude pouze odpřednesená látka. |
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Last update: T_KMA (14.05.2013)
[1] Giaquinta, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems, Annals of Mathematics Studies 105, Princeton University Press, Princeton, NJ, 1983.
[2] L. C. Evans: Partial regularity for stationary harmonic maps into spheres. Arch. Ration. Mech. Anal. *116*(2), 101-113 (1991).
[3] M. Bulíček and J. Frehse: /C^\alpha regularity for a class of non-diagonal elliptic systems with p-growth/
[4] M. Bulíček, J. Frehse and M. Steinhauer: /Everywhere C^\alpha -estimates for a class of nonlinear elliptic systems with critical growth/ |
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Last update: doc. Mgr. Petr Kaplický, Ph.D. (05.10.2020)
The course is taught through ZOOM https://cesnet.zoom.us/j/9924525902.
Its webpage is https://www2.karlin.mff.cuni.cz/~kaplicky/pages/pages/2020z/nmma583.php. |
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Last update: doc. Mgr. Petr Kaplický, Ph.D. (13.10.2017)
Zkouška bude ústní. Zkoušet budeme látku odpřednesenou na přednášce. |
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Last update: doc. Mgr. Petr Kaplický, Ph.D. (05.10.2016)
The course has the intention to prepare students for challenges that occur when instationary PDEs are non-linear. The lecture introduces techniques for existence, uniqueness and regularity theory which are suitable for non-linear settings; however, they will be introduced on the most simple model examples. Starting from the heat equation we will detect fundamental principles and then introduce ways to generalize these to more sophisticated problems. The generalization shall be made in accordance to the particular interests of the audience. Obligatory for the course is the knowledge of the Lebesgue theory of integration. Some knowledge on weak differentiation and Sobolev spaces is recommended. The course is intended for Master- and PhD- students that are keen to do research in mathematics. |
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Last update: doc. Mgr. Petr Kaplický, Ph.D. (18.04.2018)
Basic knowledge of weak solutions to PDE's. |