Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations
| dc.creator | Coriasco, S. | |
| dc.creator | Schrohe, E. | |
| dc.creator | Seiler, J. | |
| dc.date | 2002-01-20 | |
| dc.date | 2002-04-23 | |
| dc.date.accessioned | 2026-07-07T04:45:59Z | |
| dc.date.available | 2026-07-07T04:45:59Z | |
| dc.description | We study an elliptic differential operator A on a manifold with conic points. Assuming A to be defined on the smooth functions supported away from the singularities, we first address the question of possible closed extensions of A to L^p Sobolev spaces and then explain how additional ellipticity conditions ensure maximal regularity for the operator A. Investigating the Lipschitz continuity of the maps f(u)=|u|^α, with real α\ge 1, and f(u)=u^α, with αa natural number, and using a result of Clément and Li, we finally show unique solvability of a quasilinear equation of the form \dot{u} - a(u) Δu = f(u) in suitable spaces. | |
| dc.description | 18 pages (revised version, 23/04/'02) | |
| dc.identifier | https://arxiv.org/abs/math/0201184 | |
| dc.identifier | http://arxiv.org/abs/math/0201184 | |
| dc.identifier | Bull. Soc. Roy. Sci. Liège 70, fasc. 4-5-6, 207-229 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63158 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 58J40 (Primary) 35K65, 47A10 (Secondary) | |
| dc.title | Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations | |
| dc.type | text |