Large time behavior of solutions of viscous Hamilton-Jacobi Equations with superquadratic Hamiltonian
| dc.creator | Tchamba, Thierry Wilfried Tabet | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:10Z | |
| dc.date.available | 2026-07-07T12:57:10Z | |
| dc.description | We study the long-time behavior of the unique viscosity solution $u$ of the viscous Hamilton-Jacobi Equation $u_t-Δu + |Du|^m = f\hbox{in }Ω\times (0,+\infty)$ with inhomogeneous Dirichlet boundary conditions, where $Ω$ is a bounded domain of $\mathbb{R}^N$. We mainly focus on the superquadratic case ($m>2$) and consider the Dirichlet conditions in the generalized viscosity sense. Under rather natural assumptions on $f,$ the initial and boundary data, we connect the problem studied to its associated stationary generalized Dirichlet problem on one hand and to a stationary problem with a state constraint boundary condition on the other hand. | |
| dc.identifier | https://arxiv.org/abs/0903.4679 | |
| dc.identifier | http://arxiv.org/abs/0903.4679 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224838 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Large time behavior of solutions of viscous Hamilton-Jacobi Equations with superquadratic Hamiltonian | |
| dc.type | text |