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8 papers · 2 filters
On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuou…
A system of state-dependent delay differential equation modelling forest growth II: boundedness of solutions
Pierre Magal, Zhengyang Zhang
In this article we consider a class of state-dependent delay differential equations which is modelling the dynamics of the number of adult trees in forests. We prove the boundednes…
Quantitative analysis of boundary layers in periodic homogenization
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat +1
We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estim…
Non-autonomous right and left multiplicative perturbations and maximal regularity
Mahdi Achache, El Maati Ouhabaz
We consider the problem of maximal regularity for non-autonomous Cauchy problems and $u'(t) + A(t)B(t)u(t) + P(t)u(t) = f (t),…
Resonances for homoclinic trapped sets
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, we prove that there is no resonance in a region below the real axis.…
Long wave approximation for water waves under a Coriolis forcing and the Ostrovsky equation
Benjamin Melinand
This paper is devoted to the study of the long wave approximation for water waves under the influence of the gravity and a Coriolis forcing. We start by deriving a generalization o…