New regularity results for a generic model equation in exterior 3D domains

• Autorzy: Stanislav Kračmar , Patrick Penel
• Języki publikacji: EN

Abstrakty

EN

We consider a generic scalar model for the Oseen equations in an exterior three-dimensional domain. We assume the case of a non-constant coefficient function. Using a variational approach we prove new regularity properties of a weak solution whose existence and uniqueness in anisotropically weighted Sobolev spaces were proved in [10]. Because we use some facts and technical tools proved in the above mentioned paper, we give also a brief review of its results and methods.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 139-155

Daty

wydano

2005

Twórcy

autor

Stanislav Kračmar

• Czech Technical University, Faculty of Mech. Engineering, Dept. of Technical Mathematics, Karlovo nám. 13, 12135 Praha, Czech Republic

autor

Patrick Penel

• Université de Toulon et du Var, Department of Mathematics, B.P.132, 83957 Toulon - La Garde, France

Identyfikatory

DOI

10.4064/bc70-0-9