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Title: The divergence theorem (English)
Author: Král, Josef
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959
Volume: 121
Issue: 4
Year: 1996
Pages: 349-356
Summary lang: English
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Category: math
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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
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Date available: 2009-09-24T21:20:51Z
Last updated: 2015-09-04
Stable URL: http://hdl.handle.net/10338.dmlcz/126043
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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
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