Fourierova transformace distribucí a aplikace v PDR

• Thesis title in Czech: Fourierova transformace distribucí a aplikace v PDR
• Thesis title in English: Fourier transform of distributions and applications in PDE's
• Academic year of topic announcement: 2009/2010
• Thesis type: Bachelor's thesis
• Thesis language: čeština
• Department: Mathematical Institute of Charles University (32-MUUK)
• Supervisor: prof. Mgr. Milan Pokorný, Ph.D., DSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 15.10.2009
• Date of assignment: 15.10.2009
• Date and time of defence: 25.06.2010 00:00
• Date of electronic submission: 25.06.2010
• Date of proceeded defence: 25.06.2010
• Opponents: doc. RNDr. Svatopluk Krýsl, Ph.D.

Guidelines

Cílem práce je seznámit se se základními vlastnostmi Fourierovy transformace distribucí, naučit se je počítat a tuto teorii prezentovat na příkladech v teorii parciálních diferenciálních rovnic.

References

[1] Gelfand, I. M.; Shilov, G. E. Generalized functions. Vol. 1. Properties and operations. Translated from the Russian by Eugene Saletan. Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1964 [1977].
[2] Vladimirov, V. S. Generalized functions in mathematical physics. Translated from the second Russian edition by G. Yankovski\u\i. ``Mir'', Moscow, 1979.

Preliminary scope of work

Cílem práce je studovat Fourierovu transformaci distribucí a aplikace v teorii PDR.

Preliminary scope of work in English

The goal is to study the Fourier transform of distributions and the applications in the theory in the PDE's.