Name
Abstract | ||
|---|---|---|
. We construct some families of small amplitude periodic solutions close to acompletely resonant equilibrium point of a semilinear partial dierential equation. To thisend we construct, using averaging methods, a suitable functional in the unit ball of theconguration space. We prove that to each nondegenerate critical point of such a functionalthere corresponds a family of small amplitude periodic solutions of the system. The proof isbased on Lyapunov{Schmidt decomposition. As an... |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/s003320010010 | J. Nonlinear Science |
Keywords | Field | DocType |
Key words. periodic solutions,resonant PDEs,averaging theory,Lypunov-Schmidt decomposition | Nonlinear system,Mathematical analysis,Equilibrium point,Dirichlet boundary condition,Degeneracy (mathematics),Partial differential equation,Periodic graph (geometry),Amplitude,Mathematics,Configuration space | Journal |
Volume | Issue | ISSN |
11 | 1 | 0938-8974 |
Citations | PageRank | References |
3 | 1.06 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dario Bambusi | 1 | 3 | 1.39 |
| Simone Paleari | 2 | 4 | 2.36 |