Geodesic
The divergence theorem
Mathematica Bohemica, Tome 121 (1996) no. 4, pp. 349-356

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MR Zbl
This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.
This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.
DOI : 10.21136/MB.1996.126043
Classification : 01A70, 28-03, 28A75, 28B20
Keywords: perimeter; divergence theorem; the divergence theorem of Gauss-Ostrogradski 
Král, Josef. The divergence theorem. Mathematica Bohemica, Tome 121 (1996) no. 4, pp. 349-356. doi: 10.21136/MB.1996.126043
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[1] M. Chlebík: Tricomi Potentials. Thesis presented in the Mathematical Institute of the Czechoslovak Academy of Sciences in 1988. (In Slovak.)

[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. | DOI | MR | Zbl

[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

[4] H. Federer: Geometric measure theory. Springer-Verlag, Berlin 1969. | MR | Zbl

[5] K. Krickegerg: Distributionen, Funktionen beschränkter Variation und Lebesgueschei Inhalt nichtparametrischer Flächen. Annali di Matematica pura ed applicada (IV) XLIV (1957), 105-134. | MR

[6] J. Mařík: The surface integral. Časopis Pěst. Mat. 81 (1956), 79-82. (In Czech.) | MR

[7] J. Mařík: The surface integral. Czechoslovak Math. J. 6(81) (1956), 522-558. | MR

[8] J. Mařík: A note to the length of a Jordan curve. Časopis Pěst. Mat. 83 (1958), 91-96. (In Czech.) | MR

[9] A. I. Voľpert: BV spaces and quasilinear equations. Matem. sbornik 73 (115) (1967), No. 2, 255-302. (In Russian.) | MR

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