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

• Autorzy: Katrin Schumacher
• Języki publikacji: EN

Abstrakty

EN

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 $A_q$.

Kategorie tematyczne

• 35F15: Boundary value problems for linear first-order equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 433-440

Daty

wydano

2008

Twórcy

autor

Katrin Schumacher

• Department of Mathematics, Technische Universität Darmstadt, Schlossgartenstraße 7, 64289 Darmstadt, Germany

Identyfikatory

DOI

10.4064/bc81-0-26