Benjamin–Ono periodic bifurcating water waves in presence of an essential spectrum
Bifurcating solutions to the monodomain model equipped with FitzHugh-Nagumo kinetics.
Bifurcation of free vibrations for completely resonant wave equations
We prove existence of small amplitude, 2p/v-periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.
Bistable traveling waves for monotone semiflows with applications
This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness. We also apply the theory to four classes of evolution systems.
Boundary value problems in time for wave equations on .
Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations
Bounded and periodic solutions of semilinear impulsive periodic system on Banach spaces.
Breathers and forced oscillations of nonlinear wave equations on R3.
Breathers for nonlinear wave equations
The semilinear differential equation (1), (2), (3), in with , (a nonlinear wave equation) is studied. In particular for , the existence is shown of a weak solution , periodic with period , non-constant with respect to , and radially symmetric in the spatial variables, that is of the form . The proof is based on a distributional interpretation for a linear equation corresponding to the given problem, on the Paley-Wiener criterion for the Laplace Transform, and on the alternative method of...