Laplaceova rovnice ve zlomkových Sobolevových prostorech
| Thesis title in Czech: | Laplaceova rovnice ve zlomkových Sobolevových prostorech |
|---|---|
| Thesis title in English: | Laplace equation in fractional Sobolev spaces |
| Key words: | Zlomkové Sobolevovy prostory, Laplaceova rovnice, Fourierovy řady |
| English key words: | Fractional Sobolev spaces, Laplace equation, Fourier series |
| Academic year of topic announcement: | 2014/2015 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | doc. RNDr. Tomáš Bárta, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 03.11.2014 |
| Date of assignment: | 04.11.2014 |
| Confirmed by Study dept. on: | 13.11.2014 |
| Date and time of defence: | 15.06.2015 00:00 |
| Date of electronic submission: | 21.05.2015 |
| Date of submission of printed version: | 21.05.2015 |
| Date of proceeded defence: | 15.06.2015 |
| Opponents: | doc. RNDr. Dr. rer. nat. Jan Vybíral, Ph.D. |
| Guidelines |
| Cílem práce je zkoumat Laplaceovu rovnici na jednotkovém kruhu pomocí Fourierovy metody a získat řešení v různých prostorech funkcí v závislosti na okrajové podmínce. |
| References |
| L.C. Evans: Partial Differential Equations, AMS, 2010
P. Čihák a kol.: Matematická analýza nejen pro fyziky 5, Matfyzpress, 2003 P. Grisvard: Elliptic Problems in Nonsmooth Domains, Pitman Publishing Inc., Marshfield, 1985. |