Search results for "TRIZ"

showing 10 items of 343 documents

Symmetrization for singular semilinear elliptic equations

2012

In this paper, we prove some comparison results for the solution to a Dirichlet problem associated with a singular elliptic equation and we study how the summability of such a solution varies depending on the summability of the datum f. © 2012 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.

Dirichlet problemSharp a priori estimatesSemilinear elliptic equationsMathematics::Operator AlgebrasApplied MathematicsMathematical analysisMathematics::Classical Analysis and ODEsMathematics::Analysis of PDEsComparison resultsSymmetrizationGeodetic datumElliptic curveSettore MAT/05 - Analisi MatematicaMathematics::K-Theory and HomologySymmetrizationMathematics
researchProduct

Existence and comparison results for a singular semilinear elliptic equation with a lower order term

2014

This paper deals with the homogeneous Dirichlet problem for a singular semilinear elliptic equation with a first order term. When the datum is bounded we prove an existence result and we show that any solution can be compared with the solution to a suitable symmetrized problem.

Dirichlet problemSharp a priori estimatesSingular elliptic problems with gradient termApplied MathematicsGeneral MathematicsNumerical analysisMathematical analysisMathematics::Analysis of PDEsGeodetic datumSymmetrizationTerm (time)Elliptic curveSingular solutionSettore MAT/05 - Analisi MatematicaBounded functionSymmetrizationMathematics
researchProduct

L 2-topological invariants of 3-manifolds

1995

We give results on theL2-Betti numbers and Novikov-Shubin invariants of compact manifolds, especially 3-manifolds. We first study the Betti numbers and Novikov-Shubin invariants of a chain complex of Hilbert modules over a finite von Neumann algebra. We establish inequalities among the Novikov-Shubin invariants of the terms in a short exact sequence of chain complexes. Our algebraic results, along with some analytic results on geometric 3-manifolds, are used to compute theL2-Betti numbers of compact 3-manifolds which satisfy a weak form of the geometrization conjecture, and to compute or estimate their Novikov-Shubin invariants.

Discrete mathematicsExact sequenceMathematics::Operator AlgebrasBetti numberGeneral MathematicsMathematics::Spectral TheoryMathematics::Algebraic TopologyManifoldsymbols.namesakeChain (algebraic topology)Von Neumann algebraGromov–Witten invariantsymbolsAlgebraic numberGeometrization conjectureMathematicsInventiones Mathematicae
researchProduct

Conjugate unstable manifolds and their underlying geometrized Markov partitions

2000

Abstract Conjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are characterized in terms of the combinatorics of their geometrized Markov partitions. As a consequence, the relationship between the local and the global point of view is also made explicit.

Discrete mathematicsSmale diffeomorphismsMathematics::Dynamical SystemsMarkov chainInvariant manifoldsGeometrized Markov partitionsPoint (geometry)Geometry and TopologyMathematics::Symplectic GeometryMathematics::Geometric TopologyConjugateMathematicsTopology and its Applications
researchProduct

On Weakly Locally Uniformly Rotund Banach Spaces

1999

Abstract We show that every normed space E with a weakly locally uniformly rotund norm has an equivalent locally uniformly rotund norm. After obtaining a σ -discrete network of the unit sphere S E for the weak topology we deduce that the space E must have a countable cover by sets of small local diameter, which in turn implies the renorming conclusion. This solves a question posed by Deville, Godefroy, Haydon, and Zizler. For a weakly uniformly rotund norm we prove that the unit sphere is always metrizable for the weak topology despite the fact that it may not have the Kadec property. Moreover, Banach spaces having a countable cover by sets of small local diameter coincide with the descript…

Discrete mathematicsUnit sphereMathematics::Functional AnalysisPure mathematicslocally uniformly rotundBanach spacedescriptive Banach spacesUniformly convex spaceweakly locally uniformly rotundNorm (mathematics)Metrization theoremCountable setrenormingAnalysisMathematicsNormed vector spaceJournal of Functional Analysis
researchProduct

Perimeter symmetrization of some dynamic and stationary equations involving the Monge-Ampère operator

2017

We apply the perimeter symmetrization to a two-dimensional pseudo-parabolic dynamic problem associated to the Monge-Ampere operator as well as to the second order elliptic problem which arises after an implicit time discretization of the dynamical equation. Curiously, the dynamical problem corresponds to a third order operator but becomes a singular second order parabolic equation (involving the 3-Laplacian operator) in the class of radially symmetric convex functions. Using symmetrization techniques some quantitative comparison estimates and several qualitative properties of solutions are given.

DiscretizationMathematical analysisPerimeter symmetrizationPseudoparabolic dynamic Monge-Ampère equationThird orderOperator (computer programming)Dynamic problemSettore MAT/05 - Analisi MatematicaTwo-dimensional domainSymmetrizationOrder (group theory)AmpereConvex functionMathematics
researchProduct

Nutraceuticals and dyslipidaemia: Beyond the common therapeutics

2014

Dyslipidaemia accelerates the atherosclerotic process and its morbid consequences; statins represent the evidence-based treatment of choice for reducing low-density lipoprotein cholesterol levels and decreasing cardiovascular events. Unfortunately, statins are frequently not available for several reasons, including intolerance, side effects or, simply, patient preference. Nutraceuticals and functional food ingredients that are beneficial to vascular health may represent useful compounds that are able to reduce the overall cardiovascular risk induced by dyslipidaemia by acting parallel to statins or as adjuvants in case of failure or in situations where statins cannot be used. The mechanisms…

DyslipidaemiaMedicine (miscellaneous)Pharmacologychemistry.chemical_compoundPharmacotherapyNutraceuticalFunctional foodMedicineTX341-641Nutrition and DieteticsCholesterolbusiness.industryNutrition. Foods and food supplyStatinsnutritional and metabolic diseasesPatient preferenceCardiovascular diseaseschemistryMrna levelnutrizione; Nutraceuticallipids (amino acids peptides and proteins)NutraceuticalsDrug therapyFaecal excretionbusinessFood ScienceLipoprotein
researchProduct

Calibration process and parametrization of tropical plants using ENVI-met V4: São Paulo case study

2019

This work aims to improve the process of calibration of ENVI-met model based on air temperature in both built-up and vegetated areas, considering various parameters and models of trees. Field measu...

ESTUDO DE CASOMeteorologyCalibration (statistics)Process (engineering)Urban vegetationAir temperatureArchitectureEnvironmental scienceParametrization (atmospheric modeling)Tropical plants
researchProduct

El modelo de la Economía del Bien Común. Un estudio empírico sobre su aplicación a la empresa privada

2019

La Economía del Bien Común es un modelo económico que nace en el 2010 en Austria de la mano del profesor de economía y activista Christian Felber con el fin de medir la contribución al bien común por parte de la economía y las organizaciones. Después de 10 años de implantación en un número amplio de empresas, en el presente trabajo se realiza un estudio empírico sobre el perfil de las empresas que lo han implantado y sobre el éxito de su implantación en España y su comparación con otros países europeos. Para ello se realiza un trabajo de campo consistente en el envío de un cuestionario y posterior explotación a una muestra de empresas que han implementado el Balance del Bien Común durante e…

Economics and EconometricsEconomics as a scienceBalance del Bien ComúnAdministración de empresasValor socialResponsabilidad SociaMatriz del Bien ComúnHB71-74Social Sciences (miscellaneous)Perfil empresarial
researchProduct

Konferenz der Nationalen Komitees der Weltkraftkonferenz Lettlands, Estlands und Litauens: [Vorträge]

1939

Kopsavilkumi angļu valodā

Elektrifizierungslage in EstlandElectric power productionElectricity:TECHNOLOGY::Electrical engineering electronics and photonics::Electric power engineering [Research Subject Categories]Elektrifizierung der LandwirtschaftElektroenerģijas ražošana - BaltijaElektrifizierungslage in LettlandElektroenerģijaElektrifizierungslage in LitauenElektrizitätswerke
researchProduct