Theorem 1.1. Consider (NLS) on Rd or Td, with μ = ±1. Fix s > d2 ; then (NLS) is locally well-posed in H s (in the sense of mild solutions): • Existence: For any u0 ∈ Hs, there exists a (mild) solution u defined on [0, T0], where T0 = cs‖u0‖ Hs, for a constant cs > 0. It is such that ‖u‖CT0Hs ≤ 2‖u0‖Hs. • Uniqueness: it is unique in LT0H s. • Dependence on the data: the map u0 7→ u is analytic ...

This paper studies the existence and global asymptotical stability of periodic PC-mild solution for the T -periodic logistic system with time-varying generating operators and T0-periodic impulsive perturbations on Banach spaces. Two sufficient conditions that guarantee the exponential stability of the impulsive evolution operator corresponding to homogenous well-posed T -periodic system with ti...

We prove the existence and uniqueness of the mild solution for the 1D Vlasov-Poisson system with initial-boundary conditions by using iterated approximations. The same arguments yield existence and uniqueness for the free space or space periodic system. The major difficulty is the treatment of the boundary conditions. The main idea consists of splitting the velocities range by introducing criti...

The global data on solar neutrino rates and spectrum, including the SNO charged current rate, can be explained by LMA, LOW or the energy independent solution – corresponding to near-maximal mixing. All the three favour a mild upward renormalisation of the Cl rate. A mild downward shift of the B neutrino flux is favoured by the energy independent and to a lesser extent the LOW solution, but not ...

Optimized magnetic resonance imaging (MRI) features and abnormalities of brain network architectures may allow earlier detection and accurate prediction of the progression from mild cognitive impairment (MCI) to Alzheimer's disease (AD). In this study, we proposed a classification framework to distinguish MCI converters (MCIc) from MCI non-converters (MCInc) by using a combination of FreeSurfer...

Zn-Al layered double hydroxide (LDH) nanoparticles with carbonate as the charge balancing anion in the interlayer space were synthesized using co-precipitation method. Then, the carbonate base Zn-Al LDH nanoparticles were doped with phosphate ion via anion-exchange reaction to synthesize Zn-Al-[PO43-]-[CO32-]. The structure and composition were characterized by X-ray diffraction (XRD), Fourier ...

We present a general spectral decomposition technique for bounded solutions to inhomogeneous linear periodic evolution equations of the form _ x = A(t)x+f(t) (), with f having precompact range, which will be then applied to nd new spectral criteria for the existence of almost periodic solutions with speciic spectral properties in the resonnant case where e isp(f) may intersect the spectrum of t...

Hydroxyethyl cellulose (HEC) was studied as corrosion inhibitor for mild steel and aluminium in 0.5 M H2SO4 solution using weight loss and electrochemical techniques. The results revealed that HEC inhibited corrosion of mild steel and aluminium in sulphuric acid environment. Inhibition efficiency was found to depend on concentration of the inhibitor. Impedance results revealed that HEC was adso...

Hematene and magnetene nanoplatelets have been produced by liquid phase exfoliation of natural mineral ores, in a water solution melamine under mild sonication.