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

Banach Center Publications (2008)

- Volume: 81, Issue: 1, page 433-440
- ISSN: 0137-6934

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topKatrin 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 -

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