Solutions to the equation div u = f in weighted Sobolev spaces

Katrin Schumacher. "Solutions to the equation div u = f in weighted Sobolev spaces." Banach Center Publications 81.1 (2008): 433-440. <http://eudml.org/doc/282355>.

@article{KatrinSchumacher2008,
abstract = {We consider the problem div u = f in a bounded Lipschitz domain Ω, where f with $∫_Ω f = 0$ is given. It is shown that the solution u, constructed as in Bogovski’s approach in [1], fulfills estimates in the weighted Sobolev spaces $W^\{k,q\}_\{w\}(Ω)$, where the weight function w is in the class of Muckenhoupt weights $A_q$.},
author = {Katrin Schumacher},
journal = {Banach Center Publications},
keywords = {Muckenhoupt weights; bounded Lipschitz domain},
language = {eng},
number = {1},
pages = {433-440},
title = {Solutions to the equation div u = f in weighted Sobolev spaces},
url = {http://eudml.org/doc/282355},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Katrin Schumacher
TI - Solutions to the equation div u = f in weighted Sobolev spaces
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 433
EP - 440
AB - We consider the problem div u = f in a bounded Lipschitz domain Ω, where f with $∫_Ω f = 0$ is given. It is shown that the solution u, constructed as in Bogovski’s approach in [1], fulfills estimates in the weighted Sobolev spaces $W^{k,q}_{w}(Ω)$, where the weight function w is in the class of Muckenhoupt weights $A_q$.
LA - eng
KW - Muckenhoupt weights; bounded Lipschitz domain
UR - http://eudml.org/doc/282355
ER -