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A C 0 interior penalty discontinuous Galerkin Method for fourthorder total variation flow. II: Existence and uniqueness
(NMPDE:Numerical Methods For Partial Differential Equations, 20190225)We prove the existence and uniqueness of a solution of a C0 Interior Penalty Discontinuous Galerkin (C0 IPDG) method for the numerical solution of a fourth‐order total variation flow problem that has been developed in part ... 
A C0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow I: Derivation of the method and numerical results
(NMPDE:Numerical Methods For Partial Differential Equations, 20190223)We consider the numerical solution of a fourth‐order total variation flow problem representing surface relaxation below the roughening temperature. Based on a regularization and scaling of the nonlinear fourth‐order parabolic ... 
The Calderón problem with corrupted data
(Inverse Problems, 201701)We consider the inverse Calderón problem consisting of determining the conductivity inside a medium by electrical measurements on its surface. Ideally, these measurements determine the DirichlettoNeumann map and, therefore, ... 
Calibration Model Maintenance in Melamine Resin Production: Integrating Drift Detection, Smart Sample Selection and Model Adaptation
(Analytica Chimica Acta, 2018)The physicochemical properties of Melamine Formaldehyde (MF) based thermosets are largely influenced by the degree of polymerization (DP) in the underlying resin. Online supervision of the turbidity point by means of ... 
Cancer incidence among children and young adults who have undergone xray guided cardiac catheterization procedures
(European Journal of Epidemiology, 20180118)Children and young adults with heart disease appear to be at increased risk of developing cancer, although the reasons for this are unclear. A cohort of 11,270 individuals, who underwent cardiac catheterizations while aged ... 
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems
(Inverse Problems, 20121231)In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we study two inverse problems for stochastic parabolic equations. One is concerned with a determination ... 
Carleman type inequalities for fractional relativistic operators
(20190922)In this paper, we derive Carleman estimates for the fractional relativistic operator. Firstly, we consider changingsign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity ... 
Causality, 'superluminality', and reshaping in undersized waveguides
(ECCOMAS 2012  European Congress on Computational Methods in Applied Sciences and Engineering, eBook Full Papers, 20121231)We analyse the reshaping mechanism leading to apparently 'superluminal' advancement of a pulse traversing an undersized section of a waveguide. For frequencies below the first inelastic threshold (cut off one), there are ... 
CCN interest forwarding strategy as MultiArmed Bandit model with delays
(NetGCoop 2012  6th International Conference on Network Games, Control and Optimization, 20121231)We consider Content Centric Network (CCN) interest forwarding problem as a MultiArmed Bandit (MAB) problem with delays. We investigate the transient behaviour of the εgreedy, tuned εgreedy and Upper Confidence Bound ... 
Centreofmass like superposition of OrnsteinUhlenbeck processes: A pathway to nonautonomous stochastic differential equations and to fractional diffusion
(Fractional Calculus and Applied Analysis, 20181025)We consider an ensemble of Ornstein–Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the ensemble. We show that the centreofmass ... 
The challenge of brain complexity: A brief discussion about a fractal intermittencybased approach
(PhyCS 2016  Proceedings of the 3rd International Conference on Physiological Computing Systems, 20161030)In the last years, the complexity paradigm is gaining momentum in many research fields where large multidimensional datasets are made available by the advancements in instrumental technology. A complex system is a ... 
Characterising the rankings produced by combinatorial optimisation problems and finding their intersections
(GECCO '19 Proceedings of the Genetic and Evolutionary Computation Conference, 2019)The aim of this paper is to introduce the concept of intersection between combinatorial optimisation problems. We take into account that most algorithms, in their machinery, do not consider the exact objective function ... 
Characterization of the QuasiStationary State of an Impurity Driven by Monochromatic Light II: Microscopic Foundations
(Annales Henri Poincare, 20151231)From quantum mechanical first principles only, we rigorously study the timeevolution of a Nlevel atom (impurity) interacting with an external monochromatic light source within an infinite system of free electrons at ... 
A characterization of two weight norm inequality for LittlewoodPaley $g_{\lambda}^{*}$function
(Journal of Geometric Analysis, 2017)Let $n\ge 2$ and $g_{\lambda}^{*}$ be the wellknown high dimensional LittlewoodPaley function which was defined and studied by E. M. Stein, $$g_{\lambda}^{*}(f)(x)=\bigg(\iint_{\mathbb R^{n+1}_{+}} \Big(\frac{t}{t+xy ... 
Chemicalgarden formation, morphology, and composition. I. Effect of the nature of the cations
(Langmuir, 20111231)We have grown chemical gardens in different sodium silicate solutions from several metalion saltscalcium chloride, manganese chloride, cobalt chloride, and nickel sulfatewith cations from period 4 of the periodic table. ... 
Chemicalgarden formation, morphology, and composition. II. Chemical gardens in microgravity
(Langmuir, 20111231)We studied the growth of metalion silicate chemical gardens under Earth gravity (1 g) and microgravity (μg) conditions. Identical sets of reaction chambers from an automated system (the Silicate Garden Habitat or SGHab) ... 
Chronic obstructive pulmonary disease subtypes. transitions over time
(PLoS ONE, 20161030)Background Although subtypes of chronic obstructive pulmonary disease are recognized, it is unknown what happens to these subtypes over time. Our objectives were to assess the stability of clusterbased subtypes in patients ... 
Classical nonmasspreserving solutions of coagulation equations
(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 20121231)In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists in the loss of mass due to the fact that ... 
Classification of resonance Regge trajectories and a modified Mulholland formula
(Physics Letters, Section A: General, Atomic and Solid State Physics, 20111231)We employ a simple potential model to analyze the effects which a Regge trajectory, correlating with a bound or a metastable state at zero angular momentum, has on an integral cross section. A straightforward modification ... 
Clinical correlates of mathematical modeling of cortical spreading depression: Single‐cases study
(Brain and Behavior, 20190728)Introduction: Considerable connections between migraine with aura and cortical spreading depression (CSD), a depolarization wave originating in the visual cortex and traveling toward the frontal lobe, lead to the hypothesis ...