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Space-charge polarization by confined ion migration in microstructured solid dielectrics
(Pergamon-Elsevier Science Ltd, 2019-02)
A continuum formulation for the effective electrostatic response of microstructured solid dielectrics undergoing intrinsic and extrinsic polarization is presented. The extrinsic polarization is produced by space charges ...
A constrained shape optimization problem in Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-06)
In this manuscript we study the following optimization problem: given a bounded and regular domain Ω⊂RN we look for an optimal shape for the “W−vanishing window” on the boundary with prescribed measure over all admissible ...
Poset splitting and minimality of finite models
(Academic Press Inc Elsevier Science, 2018-07)
We prove that the fundamental group and the integral homology groups of a poset with fewer than 13 points are torsion free, settling a conjecture of Hardie, Vermeulen and Witbooi and answering a question of Barmak. In ...
Polynomials and holomorphic functions on A-compact sets in Banach spaces
(Academic Press Inc Elsevier Science, 2018-07)
In this paper we study the behavior of holomorphic mappings on A-compact sets. Motivated by the recent work of Aron, Çalişkan, García and Maestre (2016), we give several conditions (on the holomorphic mappings and on the ...
On the interpolation space (Lp(Ω),W1,p(Ω))s,p in non-smooth domains
(Academic Press Inc Elsevier Science, 2019-02)
We show that, for certain non-smooth bounded domains Ω ⊂ Rn, the real interpolation space (Lp(Ω), W1,p(Ω))s,p is the subspace Ws,p(Ω) ⊂ Lp(Ω) induced by the restricted fractional seminorm |f| Ws,p(Ω) = ∫ Ω ∫ |x−y|< d(x) 2 ...
Schur complements of selfadjoint Krein space operators
(Elsevier Science Inc, 2019-11)
Given a bounded selfadjoint operator W on a Krein space H and a closed subspace S of H, the Schur complement of W to S is defined under the hypothesis of weak complementability. A variational characterization of the Schur ...
Weak inequalities for maximal functions in Orlicz–Lorentz spaces and applications
(Academic Press Inc Elsevier Science, 2010-02)
Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon}(x) be any best constant approximation of f in Lambda_{w,phi´} on B(x,epsilon). Weak inequalities for maximal functions ...
q-Path entropy phenomenology for phase-space curves
(Elsevier Science, 2018-01)
We describe the phenomenology of the classical q-path entropy of a phase-space curve. This allows one to disclose an entropic force-like mechanism that is able to mimic some phenomenological aspects of the strong force, ...
The nonlinear dynamics of space weatherADVANCES IN SPACE RESEARCHADV SPACE RES
(PERGAMON-ELSEVIER SCIENCE LTD,, 2017)
A new perspective on hierarchical spline spaces for adaptivity
(Pergamon-Elsevier Science Ltd, 2020-04)
We introduce a framework for spline spaces of hierarchical type, based on a parent–children relation, which is very convenient for the analysis as well as the implementation of adaptive isogeometric methods. This framework ...