The divergence theorem

Josef Král

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 4, page 349-356
  • ISSN: 0862-7959

Abstract

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This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.

How to cite

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Král, Josef. "The divergence theorem." Mathematica Bohemica 121.4 (1996): 349-356. <http://eudml.org/doc/247980>.

@article{Král1996,
abstract = {This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.},
author = {Král, Josef},
journal = {Mathematica Bohemica},
keywords = {perimeter; divergence theorem; the divergence theorem of Gauss-Ostrogradski; perimeter; divergence theorem},
language = {eng},
number = {4},
pages = {349-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The divergence theorem},
url = {http://eudml.org/doc/247980},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Král, Josef
TI - The divergence theorem
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 4
SP - 349
EP - 356
AB - This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.
LA - eng
KW - perimeter; divergence theorem; the divergence theorem of Gauss-Ostrogradski; perimeter; divergence theorem
UR - http://eudml.org/doc/247980
ER -

References

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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.) (1988) 
  2. E. De Giorgi, 10.1007/BF02412838, Annali di Matematica (IV) 36 (1954), 191-213. (1954) Zbl0055.28504MR0062214DOI10.1007/BF02412838
  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. (1955) Zbl0066.29903
  4. H. Federer, Geometric measure theory, Springer-Verlag, Berlin 1969. (1969) Zbl0176.00801MR0257325
  5. K. Krickegerg, Distributionen, Funktionen beschränkter Variation und Lebesgueschei Inhalt nichtparametrischer Flächen, Annali di Matematica pura ed applicada (IV) XLIV (1957), 105-134. (1957) MR0095922
  6. J. Mařík, The surface integral, Časopis Pěst. Mat. 81 (1956), 79-82. (In Czech.) (1956) MR0089891
  7. J. Mařík, The surface integral, Czechoslovak Math. J. 6(81) (1956), 522-558. (1956) MR0089891
  8. J. Mařík, A note to the length of a Jordan curve, Časopis Pěst. Mat. 83 (1958), 91-96. (In Czech.) (1958) MR0095243
  9. A. I. Voľpert, BV spaces and quasilinear equations, Matem. sbornik 73 (115) (1967), No. 2, 255-302. (In Russian.) (1967) MR0216338

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