Existence of a solution to a vector-valued Allen-Cahn equation with a three well potential
| dc.creator | Trumper, Mariel Saez | |
| dc.date | 2007-02-22 | |
| dc.date | 2008-12-05 | |
| dc.date.accessioned | 2026-07-07T12:09:27Z | |
| dc.date.available | 2026-07-07T12:09:27Z | |
| dc.description | In this paper we prove existence of a vector-valued solution $v$ to -Δv +\frac{\nabla_v W(v)}{2}&=0, \lim_{r\to \infty}v(r \cosθ,r\sinθ)&= c_i \hbox{for} θ\in (θ_{i-1}, θ_i), where $W:\rr^2\to \rr$ is non-negative function that attains its minimum 0 at $\{c_i\}_{i=1}^3$ and the angles $θ_i$ are determined by the function $W$. This solution is an energy minimizer. | |
| dc.description | 44 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702662 | |
| dc.identifier | http://arxiv.org/abs/math/0702662 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209633 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35E99 | |
| dc.title | Existence of a solution to a vector-valued Allen-Cahn equation with a three well potential | |
| dc.type | text |