|
|||||
|
|
|
|
|
|
|
|
|
Lq-theory of a singular “winding”
integral operator arising from fluid dynamics
Reinhard Farwig, Toshiaki Hishida and Detlef Müller |
|
Vol. 215 (2004), No. 2, 297–313
|
Abstract |
|
We analyze in classical Lq(ℝn)-spaces, n = 2 or n = 3, 1 < q < ∞, a singular integral operator arising from the linearization of a hydrodynamical problem with a rotating obstacle. The corresponding system of partial differential equations of second order involves an angular derivative which is not subordinate to the Laplacian. The main tools are Littlewood–Paley theory and a decomposition of the singular kernel in Fourier space. |
Milestones
Received: 1 July 2003
Published: 1 June 2004
|
Authors |
| Reinhard Farwig | |
| Department of Mathematics Darmstadt University of Technology Schlossgartenstr. 7 D-64289 Darmstadt Germany |
|
| Toshiaki Hishida | |
| Faculty of Engineering Niigata University Niigata 950–2181 Japan |
|
| Detlef Müller | |
| Mathematisches Seminar Universität Kiel D-24118 Kiel Germany |
|
|
