Well-posedness and long-time behavior for a class of doubly nonlinear equations
| dc.creator | Schimperna, Giulio | |
| dc.creator | Segatti, Antonio | |
| dc.creator | Stefanelli, Ulisse | |
| dc.date | 2006-11-03 | |
| dc.date.accessioned | 2026-07-07T07:32:29Z | |
| dc.date.available | 2026-07-07T07:32:29Z | |
| dc.description | This paper addresses a doubly nonlinear parabolic inclusion of the form $A(u_t)+B(u)\ni f$. Existence of a solution is proved under suitable monotonicity, coercivity, and structure assumptions on the operators $A$ and $B$, which in particular are both supposed to be subdifferentials of functionals on $L^2(Ω)$. Moreover, under additional hypotheses on $B$, uniqueness of the solution is proved. Finally, a characterization of $ω$-limit sets of solutions is given and we investigate the convergence of trajectories to limit points. | |
| dc.identifier | https://arxiv.org/abs/math/0611071 | |
| dc.identifier | http://arxiv.org/abs/math/0611071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119128 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 35K55, 35B40 | |
| dc.title | Well-posedness and long-time behavior for a class of doubly nonlinear equations | |
| dc.type | text |