Non-diffusive large time behaviour for a degenerate viscous Hamilton-Jacobi equation
| dc.creator | Laurençot, Philippe | |
| dc.date | 2008-07-29 | |
| dc.date.accessioned | 2026-07-07T09:53:31Z | |
| dc.date.available | 2026-07-07T09:53:31Z | |
| dc.description | The convergence to non-diffusive self-similar solutions is investigated for non-negative solutions to the Cauchy problem $\partial_t u = Δ_p u + |\nabla u|^q$ when the initial data converge to zero at infinity. Sufficient conditions on the exponents $p>2$ and $q>1$ are given that guarantee that the diffusion becomes negligible for large times and the $L^\infty$-norm of $u(t)$ converges to a positive value as $t\to\infty$. | |
| dc.identifier | https://arxiv.org/abs/0807.4657 | |
| dc.identifier | http://arxiv.org/abs/0807.4657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165981 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B40; 35K65; 35K55; 49L25 | |
| dc.title | Non-diffusive large time behaviour for a degenerate viscous Hamilton-Jacobi equation | |
| dc.type | text |