Differentiation, implicit functions, and applications to generalized well-posedness
| dc.creator | Hiltunen, Seppo I | |
| dc.date | 2005-04-13 | |
| dc.date | 2005-08-19 | |
| dc.date.accessioned | 2026-07-07T05:19:04Z | |
| dc.date.available | 2026-07-07T05:19:04Z | |
| dc.description | This article is centered around generalizing a previous implicit function theorem of the author to be applicable for maps f:E sqcap F to F which can be lifted to Keller C^k_pi maps f_i:E sqcap F_i to F_i with F_i Banach and F=projlim F_i . We prove theorems about existence and differentiability of functions g satisfying f(x,g(x))=b constant. In addition to these abstract theorems, we give several examples of applications to proving smooth dependence of the solution on initial/boundary values and the nonlinearity in nonlinear (partial) differential equations. | |
| dc.description | AmS-TeX, 36 pages; v2: added some details of proof; v3: '4 Remarks' in Section 2 supplemented and modified, few misprints corrected | |
| dc.identifier | https://arxiv.org/abs/math/0504268 | |
| dc.identifier | http://arxiv.org/abs/math/0504268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74885 | |
| dc.subject | Functional Analysis | |
| dc.subject | 58C15; 47J07; 46T20; 46T25; 35B30 | |
| dc.title | Differentiation, implicit functions, and applications to generalized well-posedness | |
| dc.type | text |