Some local questions for hyperbolic systems with non-regular time dependent coefficients

We have the following dyadic characterization of these spaces (see [13, Prop. As a matter of fact, operators associated to log-Zygmund or log- Lipschitz symbols give a logarithmic

We prove that these systems have a unique local in time solution and we study the convergence rate of the solutions of the non-local models towards the local Korteweg model..

In this case, the proposed observer generates state and parameter estimates, which exponentially converge to the plant state and the true parameter, respectively, provided a

It is a result very similar to the one of Rousset in [14], established in the nonlinear framework, which states that the Uniform Lopatinski Condition holds for the limiting

— Well posedness in the Gevrey Classes of the Cauchy Problem for a Non Strictly Hyperbolic Equation with Coefficients Depending On Time, Ann.. — Two by two strongly hyperbolic systems

a symmetrizer for each diagonal blocks.We group together the eigenvalues which do not come near the imaginary axis, forming what we will call the parabolic block.For this block,

Said-Houari, Global nonexistence of positive initial- energy solutions of a system of nonlinear viscoelastic wave equations with damp- ing and source terms, J. Messaoudi

In second chapter, we proved the well-posedness and an exponential decay result under a suitable assumptions on the weight of the damping and the weight of the delay for a wave