Micro-local analysis in Fourier Lebesgue and modulation spaces. Part II
| dc.creator | Pilipovic, Stevan | |
| dc.creator | Teofanov, Nenad | |
| dc.creator | Toft, Joachim | |
| dc.date | 2008-05-29 | |
| dc.date | 2009-05-18 | |
| dc.date.accessioned | 2026-07-07T13:15:21Z | |
| dc.date.available | 2026-07-07T13:15:21Z | |
| dc.description | We consider different types of (local) products $f_1 f_2$ in Fourier Lebesgue spaces. Furthermore, we prove the existence of such products for other distributions satisfying appropriate wave-front properties. We also consider semi-linear equations of the form $$ \qquad P(x,D)f = G(x,J_k f), $$ with appropriate polynomials $P $ and $G$. If the solution locally belongs to appropriate weighted Fourier Lebesgue space ${\mathscr F}L^q_{(ω)} (\rr d)$ and $P$ is non-characteristic at $(x_0,ξ_0),$ then we prove that $(x_0,ξ_0)\not \in WF_{{\mathscr F}L^q_{(\widetilde ω)}} (f)$, where $\widetildeω$ depends on $ω$, $P$ and $G$. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0805.4476 | |
| dc.identifier | http://arxiv.org/abs/0805.4476 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230442 | |
| dc.subject | Functional Analysis | |
| dc.subject | 35A18; 35Sxx; 42B35; 47G30 | |
| dc.title | Micro-local analysis in Fourier Lebesgue and modulation spaces. Part II | |
| dc.type | text |