Now showing items 1-20 of 939

• #### $A_1$ theory of weights for rough homogeneous singular integrals and commutators ﻿

(Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V, 2019)
Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $\BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...
• #### On the absolute divergence of Fourier series in the infinite dimensional torus ﻿

(Colloquium Mathematicum, 2019-03-22)
• #### A Hardy-type inequality and some spectral characterizations for the Dirac–Coulomb operator ﻿

(Revista Matemática Complutense, 2019-06)
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrix-valued potentials $\mathbf V$ of Coulomb type: ...
• #### Examples of varieties with index one on C1 fields ﻿

(Journal of Number Theory, 2019-04-16)
Let K be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field k. In this article we give a sufficient criterion for a projective variety over such a field to have index 1.
• #### Exploring Li-ion conductivity in cubic, tetragonal and mixed-phase Al-substituted Li7La3Zr2O12 using atomistic simulations and effective medium theory ﻿

(Acta Materialia, 2019-08-15)
Garnet Li7La3Zr2O12 (LLZO) is a promising solid electrolyte candidate for solid-state Li-ion batteries, but at room temperature it crystallizes in a poorly Li-ion conductive tetragonal phase. To this end, partial substitution ...
• #### Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model ﻿

(Journal of theoretical biology, 2019-06-05)
The energetic needs of brain cells at rest and during elevated neuronal activation has been the topic of many investigations where mathematical models have played a significant role providing a context for the interpretation ...
• #### Snapshots location for Reduced Order Models: An approach based on Proper Orthogonal Decomposition and Mesh Adaptivity Techniques ﻿

(2019-06-28)
Solving Partial Differential Equations (PDE), is a key issue in science and engineering since they are widely used in many real problem modelling including fluid mechanics, acoustics, heat and mass transfer ...etc. Exact ...
• #### Patient-specific modelling of cortical spreading depression applied to migraine studies ﻿

(2019-06-17)
Migraine is a common neurological disorder and one-third of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ...