Nonlinear damped partial differential equations and their uniform discretizations

The main results, including Theorems 3.1 on well-posedness of (1.1), Theorem 3.2 on energy decay for polynomially growing damping case, Theorem 3.4 on energy decay for general

In Section 5, we provide a suitable version of the Mourre theory which allows to estimate powers of the resolvent, including inserted factors, for general dissipative perturbations

We prove local and global energy decay for the asymptotically periodic damped wave equation on the Euclidean space.. Since the behavior of high frequencies is already mostly

weaker damping, spectral compensation, optimal energy decay rate, Riesz basis in higher dimension space.. AMS subject

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

ASYMPTOTIC RATES OF DECAY FOR SOME NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS AND VARIATIONAL.. PROBLEMS OF

We establish sharp energy decay rates for a large class of nonlinearly first-order damped systems, and we design discretization schemes that inherit of the same energy decay

The null controllability problem for a structurally damped abstract wave equation –often referred to in the literature as a structurally damped equation– is considered with a