Periodic and invariant measures for stochastic wave equations.
Periodic solutions of a nonlinear evolution problem
In this paper we prove existence of periodic solutions to a nonlinear evolution system of second order partial differential equations involving the pseudo-Laplacian operator. To show the existence of periodic solutions we use Faedo-Galerkin method with a Schauder fixed point argument.
Periodic Solutions of a Nonlinear Wave Equation Without Assumption of Monotonicity.
Periodic solutions of a piecewise linear beam equation damping and nonconstant load.
Periodic solutions of a weakly nonlinear hyperbolic equation in and
Periodic solutions of a weakly nonlinear wave equation
Periodic solutions of a weakly nonlinear wave equation in one dimension
Periodic solutions of abstract differential equations: the Fourier method
Periodic solutions of asymptotically linear systems without symmetry
Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term
Periodic solutions of nonlinear vibrating beams.
Periodic solutions of nonlinear wave equations with non-monotone forcing terms
Existence and regularity of periodic solutions of nonlinear, completely resonant, forced wave equations is proved for a large class of non-monotone forcing terms. Our approach is based on a variational Lyapunov-Schmidt reduction. The corresponding infinite dimensional bifurcation equation exhibits an intrinsic lack of compactness. This difficulty is overcome finding a-priori estimates for the constrained minimizers of the reduced action functional, through techniques inspired by regularity theory...
Periodic solutions of partial differential equations with hysteresis
Periodic solutions of weakly nonlinear wave equations in unbounded intervals
Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation
Periodic solutions to Maxwell equations in nonlinear media
Periodic solutions to the inhomogeneous sine-Gordon equation
Periodic solutions to weakly nonlinear autonomous wave equations
Perron-Frobenius operators and the Klein-Gordon equation
For a smooth curve and a set in the plane , let be the space of finite Borel measures in the plane supported on , absolutely continuous with respect to the arc length and whose Fourier transform vanishes on . Following [12], we say that is a Heisenberg uniqueness pair if . In the context of a hyperbola , the study of Heisenberg uniqueness pairs is the same as looking for uniqueness sets of a collection of solutions to the Klein-Gordon equation. In this work, we mainly address the...
Perte de régularité pour les équations d’ondes sur-critiques
On prouve que le problème de Cauchy local pour l’équation d’onde sur-critique dans , , impair, avec et , est mal posé dans pour tout , où est l’exposant critique.