Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications
Applications of Mathematics (1999)
- Volume: 44, Issue: 3, page 169-241
- ISSN: 0862-7940
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topŽeníšek, Alexander. "Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications." Applications of Mathematics 44.3 (1999): 169-241. <http://eudml.org/doc/33031>.
@article{Ženíšek1999,
abstract = {Making use of a surface integral defined without use of the partition of unity, trace theorems and the Gauss-Ostrogradskij theorem are proved in the case of three-dimensional domains $\Omega $ with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces $H^\{1,p\}()$$(1\le p<)$. The paper is a generalization of the previous author’s paper which is devoted to the line integral.},
author = {Ženíšek, Alexander},
journal = {Applications of Mathematics},
keywords = {variational problems; surface integral; trace theorems; Gauss-Ostrogradskij theorem; variational problems; surface integral; trace theorems; Gauss–Ostrogradskij theorem},
language = {eng},
number = {3},
pages = {169-241},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications},
url = {http://eudml.org/doc/33031},
volume = {44},
year = {1999},
}
TY - JOUR
AU - Ženíšek, Alexander
TI - Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 3
SP - 169
EP - 241
AB - Making use of a surface integral defined without use of the partition of unity, trace theorems and the Gauss-Ostrogradskij theorem are proved in the case of three-dimensional domains $\Omega $ with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces $H^{1,p}()$$(1\le p<)$. The paper is a generalization of the previous author’s paper which is devoted to the line integral.
LA - eng
KW - variational problems; surface integral; trace theorems; Gauss-Ostrogradskij theorem; variational problems; surface integral; trace theorems; Gauss–Ostrogradskij theorem
UR - http://eudml.org/doc/33031
ER -
References
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