Green's theorem from the viewpoint of applications

Ženíšek, Alexander. "Green's theorem from the viewpoint of applications." Applications of Mathematics 44.1 (1999): 55-80. <http://eudml.org/doc/33027>.

@article{Ženíšek1999,
abstract = {Making use of a line integral defined without use of the partition of unity, Green’s theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces $W^\{1,p\}()\equiv H^\{1,p\}()$$(1\le p<)$.},
author = {Ženíšek, Alexander},
journal = {Applications of Mathematics},
keywords = {Green’s theorem; elliptic problems; variational problems; Green's theorem; elliptic problems; variational problems},
language = {eng},
number = {1},
pages = {55-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Green's theorem from the viewpoint of applications},
url = {http://eudml.org/doc/33027},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Ženíšek, Alexander
TI - Green's 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 - 1
SP - 55
EP - 80
AB - Making use of a line integral defined without use of the partition of unity, Green’s theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces $W^{1,p}()\equiv H^{1,p}()$$(1\le p<)$.
LA - eng
KW - Green’s theorem; elliptic problems; variational problems; Green's theorem; elliptic problems; variational problems
UR - http://eudml.org/doc/33027
ER -