Global Solution of the System of Wave and Klein-Gordon Equations.
Global solutions for a nonlinear hyperbolic equation with boundary memory source term.
Global solutions for a nonlinear wave equation with the -Laplacian operator.
Global solutions of the equations of elastodynamics for incompressible materials.
Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity [Book]
Global solvability for the degenerate Kirchhoff equation
Global solvability to the Kirchhoff equation for a new class of initial data.
Global sound waves for quasilinear second order wave equations.
Global stability of travelling fronts for a damped wave equation with bistable nonlinearity
We consider the damped wave equation on the whole real line, where is a bistable potential. This equation has travelling front solutions of the form which describe a moving interface between two different steady states of the system, one of which being the global minimum of . We show that, if the initial data are sufficiently close to the profile of a front for large , the solution of the damped wave equation converges uniformly on to a travelling front as . The proof of this global stability...
Global weak solutions for dimensional wave maps into homogeneous spaces
Global weak solutions of the wave map system to compact homogeneous spaces.
Global well-posedness and energy decay for a one dimensional porous-elastic system subject to a neutral delay
We consider a one-dimensional porous-elastic system with porous-viscosity and a distributed delay of neutral type. First, we prove the global existence and uniqueness of the solution by using the Faedo-Galerkin approximations along with some energy estimates. Then, based on the energy method with some appropriate assumptions on the kernel of neutral delay term, we construct a suitable Lyapunov functional and we prove that, despite of the destructive nature of delays in general, the damping mechanism...
Global well-posedness for two-dimensional semilinear wave equations.
Globally regular solutions to the Klein-Gordon equation
Hidden regularity for semilinear hyperbolic partial differential equations
Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.
Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity.
Hyperbolic Equations in Uniform Spaces
The paper is devoted to the Cauchy problem for a semilinear damped wave equation in the whole of ℝ ⁿ. Under suitable assumptions a bounded dissipative semigroup of global solutions is constructed in a locally uniform space . Asymptotic compactness of this semigroup and the existence of a global attractor are then shown.
Hysteresis and Periodic Solutions of Semilinear and Quasilinear Wave Equations.
Inégalités de Strichartz et équations d’ondes quasilinéaires
Dans ce texte, notre but est de résoudre des équations d’ondes quasilinéaires pour des données initiales moins régulières que ce qu’impose les méthodes d’énergie. Ceci impose de démontrer des estimées de type Strichartz pour des opérateurs d’ondes à coefficients seulement lipschitziens.