On the long term spatial segregation for a competition-diffusion system
| dc.creator | Squassina, Marco | |
| dc.date | 2008-06-05 | |
| dc.date.accessioned | 2026-07-07T09:42:50Z | |
| dc.date.available | 2026-07-07T09:42:50Z | |
| dc.description | We investigate the long term behavior for a class of competition-diffusion systems of Lotka-Volterra type for two competing species in the case of low regularity assumptions on the data. Due to the coupling that we consider the system cannot be reduced to a single equation yielding uniform estimates with respect to the inter-specific competition rate parameter. Moreover, in the particular but meaningful case of initial data with disjoint support and Dirichlet boundary data which are time-independent, we prove that as the competition rate goes to infinity the solution converges, along with suitable sequences, to a spatially segregated state satisfying some variational inequalities. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0806.0969 | |
| dc.identifier | http://arxiv.org/abs/0806.0969 | |
| dc.identifier | Asymptotic Anal. 57 (2008), 83-103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162332 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B40, 35K57, 35B35, 92D25 | |
| dc.title | On the long term spatial segregation for a competition-diffusion system | |
| dc.type | text |