The comparsion principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups
| dc.creator | Wang, Changyou | |
| dc.date | 2003-09-04 | |
| dc.date.accessioned | 2026-07-07T05:00:51Z | |
| dc.date.available | 2026-07-07T05:00:51Z | |
| dc.description | For any Carnot group $\bf G$ and a bounded domain $Ω\subset \bf G$, we prove that viscosity solutions in $C(\bar\Om)$ of the fully nonlinear subelliptic equation $F(u,\nabla_h u, \nabla^2_h u)=0$ are unique when $F\in C(R\times R^m\times {\Cal S}(m))$ satisfies (i) $F$ is degenerate subelliptic and decreasing in $u$ or (ii) $F$ is uniformly subelliptic and nonincreasing in $u$. This extends Jensen's uniqueness theorem from the Euclidean space to the sub-Riemannian setting of the Carnot group. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309078 | |
| dc.identifier | http://arxiv.org/abs/math/0309078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68473 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35H20, 35J70 | |
| dc.title | The comparsion principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups | |
| dc.type | text |