| Title:
|
The divergence theorem (English) |
| Author:
|
Král, Josef |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
349-356 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski. (English) |
| Keyword:
|
perimeter |
| Keyword:
|
divergence theorem |
| Keyword:
|
the divergence theorem of Gauss-Ostrogradski |
| MSC:
|
01A70 |
| MSC:
|
28-03 |
| MSC:
|
28A75 |
| MSC:
|
28B20 |
| idZBL:
|
Zbl 0879.28011 |
| idMR:
|
MR1428138 |
| DOI:
|
10.21136/MB.1996.126043 |
| . |
| Date available:
|
2009-09-24T21:20:51Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126043 |
| . |
| Reference:
|
[1] M. Chlebík: Tricomi Potentials.Thesis presented in the Mathematical Institute of the Czechoslovak Academy of Sciences in 1988. (In Slovak.) |
| Reference:
|
[2] E. De Giorgi: Su una teoria generale della misura (r-1)-dimensionale in uno spazio ad r dimensioni.Annali di Matematica (IV) 36 (1954), 191-213. Zbl 0055.28504, MR 0062214, 10.1007/BF02412838 |
| Reference:
|
[3] E. De Giorgi: Nuovi teoremi relativi alle misure (r-1)-dimensionali in uno spazio ad r dimensioni.Ricerche di Matematica IV (1955), 94-113. Zbl 0066.29903 |
| Reference:
|
[4] H. Federer: Geometric measure theory.Springer-Verlag, Berlin 1969. Zbl 0176.00801, MR 0257325 |
| Reference:
|
[5] K. Krickegerg: Distributionen, Funktionen beschränkter Variation und Lebesgueschei Inhalt nichtparametrischer Flächen.Annali di Matematica pura ed applicada (IV) XLIV (1957), 105-134. MR 0095922 |
| Reference:
|
[6] J. Mařík: The surface integral.Časopis Pěst. Mat. 81 (1956), 79-82. (In Czech.) MR 0089891 |
| Reference:
|
[7] J. Mařík: The surface integral.Czechoslovak Math. J. 6(81) (1956), 522-558. MR 0089891 |
| Reference:
|
[8] J. Mařík: A note to the length of a Jordan curve.Časopis Pěst. Mat. 83 (1958), 91-96. (In Czech.) MR 0095243 |
| Reference:
|
[9] A. I. Voľpert: BV spaces and quasilinear equations.Matem. sbornik 73 (115) (1967), No. 2, 255-302. (In Russian.) MR 0216338 |
| . |
