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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

Function spaces

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Code Completion Credits Range Language
D01PFS_EN ZK 2P English
Garant předmětu:
Aleš Nekvinda
Lecturer:
Aleš Nekvinda
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

The lectures will be devoted to the study of function spaces with respect to applications in the theory of partial differential equations. The Lebesgue and Sobolev spaces will be introduced. The teorem about the density of smooth functions and the theorem about extending the operator from a dense subset will be proved. In addition, the Hausdorff measure will be introduced, and Lebesgue spaces on the boundary and non-integer order spaces will be defined. Proofs of embeddings, trace, inverse traces, and compact embeddings will be proved. Finally, we will show applications on elliptic problems.

Requirements:
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Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-05-27
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