Background The 5XFAD early onset mouse model of Alzheimer's disease (AD) is gaining
momentum. Behavioral, electrophysiological and anatomical studies have identified age …

We present an abstract method for deriving decay estimates on the resolvents and
semigroups of non-symmetric operators in Banach spaces in terms of estimates in another …

The aim of this paper is twofold:(1) On the one hand, the paper revisits the spectral analysis
of semigroups in a general Banach space setting. It presents some new and more general …

The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …

The issue of the relaxation to equilibrium has been at the core of the kinetic theory of rarefied
gas dynamics. In the paper, we introduce the Deep Neural Network (DNN) approximated …

We consider three classes of linear non-symmetric Fokker-Planck equations having a
unique steady state and establish exponential convergence of solutions towards the steady …

We present an abstract method for deriving decay estimates on the resolvents and
semigroups of non-symmetric operators in Banach spaces in terms of estimates in another …

In this paper, we develop a natural operator-splitting variational scheme for a general class
of non-local, degenerate conservative-dissipative evolutionary equations. The splitting …

Stochastic particle methods for the numerical treatment of the Wigner equation are
considered. The approximation properties of these methods depend on several numerical …

In this paper, we develop a mean-field model for describing the dynamics of spin-transfer
torque in multilayered ferromagnetic media. Specifically, we use the techniques of Wigner …