Thesis (Selection of subject)

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Dilatace množin s konečným perimetrem

Thesis title in Czech:	Dilatace množin s konečným perimetrem
Thesis title in English:	Dilation of sets with finite perimeter
Key words:	konečný perimetr\|dilatace\|zobecněný normálový vektor
English key words:	finite perimeter\|dilation\|generalized normal vector
Academic year of topic announcement:	2023/2024
Thesis type:	diploma thesis
Thesis language:
Department:	Mathematical Institute of Charles University (32-MUUK)
Supervisor:	prof. RNDr. Jan Rataj, CSc.
Author:	hidden - assigned and confirmed by the Study Dept.
Date of registration:	24.10.2023
Date of assignment:	24.10.2023
Confirmed by Study dept. on:	24.10.2023

Guidelines

Student/ka si nastuduje geometrické vlastnosti množin s konečným perimetrem a bude se zabývat chováním objemu dilatace množiny konečného perimetru infinitezimálně malým násobkem testovací množiny pro různé typy testovacích množin.

References

Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego: Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 2000

Villa, Elena: On the outer Minkowski content of sets. Ann. Mat. Pura Appl. (4) 188 (2009), no. 4, 619–630