Conditions nécessaires d’existence des $(k, r, s,)$-plans

G. Heuzé

Displaying similar documents to “Conditions nécessaires d’existence des $(k, r, s,)$ -plans”

Sur un problème parabolique-elliptique

Philippe Benilan, Petra Wittbold (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like ${(v - 1)}_{t}^{+} = v_{x x} + F {(v)}_{x}$ where the function $F : ℝ \to ℝ$ is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in on , we use nonlinear semigroup theory.

Une formule utile en analyse des comparaisons

Jean-Marc Bernard (1997)

Mathématiques et Sciences Humaines

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Cette note donne la formule du protocole projeté (orthogonalement) $y^{J}$ d’un protocole de base $x^{J}$ de $R^{J}$ , pondéré par $n_{J}$ , sur le sous-espace de $R^{J}$ dual d’une $g$ -comparaison de $R_{J}$ .

Sur les courbes hyperelliptiques cyclotomiques et les équations $x^{p} - y^{p} = c z ²$

Wilfrid Ivorra

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Let p be a prime number ≥ 11 and c be a square-free integer ≥ 3. In this paper, we study the diophantine equation $x^{p} - y^{p} = c z ²$ in the case where p belongs to 11,13,17. More precisely, we prove that for those primes, there is no integer solution (x,y,z) to this equation satisfying gcd(x,y,z) = 1 and xyz ≠ 0 if the integer c has the following property: if ℓ is a prime number dividing c then ℓ ≢ 1 mod p. To obtain this result, we consider the hyperelliptic curves $C_{p} : y ² = Φ_{p} (x)$ and $D_{p} : p y ² = Φ_{p} (x)$ , where $Φ_{p}$ is the pth cyclotomic...

Sur la courbure des lignes de niveau dans la classe $S_{α k}^{c}$ des fonctions convexes d’ordre α et k-symétriques

Z. Bogucki, J. Zderkiewicz (1983)

Annales Polonici Mathematici

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Idéaux fermés de certaines algèbres de Beurling et application aux opérateurs à spectre dénombrable

Cyril Agrafeuil (2005)

Studia Mathematica

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We denote by the unit circle and by the unit disc of ℂ. Let s be a non-negative real and ω a weight such that $ω (n) = {(1 + n)}^{s}$ (n ≥ 0) and the sequence ${(ω (- n) / {(1 + n)}^{s})}_{n \geq 0}$ is non-decreasing. We define the Banach algebra $A_{ω} () = {f \in () : | | f | |}_{ω} = \sum_{n = - \infty}^{+ \infty} | f ̂ (n) | ω (n) < + \infty$ . If I is a closed ideal of $A_{ω} ()$ , we set $h ⁰ (I) = z \in : f (z) = 0 (f \in I)$ . We describe all closed ideals I of $A_{ω} ()$ such that h⁰(I) is at most countable. A similar result is obtained for closed ideals of the algebra $A ⁺_{s} () = f \in A_{ω} () : f ̂ (n) = 0 (n < 0)$ without inner factor. Then we use this description to establish a link between operators with countable spectrum and interpolating...

Les -types du système $ℱ$

K. Nour (2010)

RAIRO - Theoretical Informatics and Applications

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We prove in this paper that the types of system $ℱ$ inhabited uniquely by λ-terms (the -types) have a positive quantifier. We give also consequences of this result and some examples.

Pinceaux de courbes planes et invariants polaires

Evelia R. García Barroso, Arkadiusz Płoski (2004)

Annales Polonici Mathematici

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We study pencils of plane curves $f_{t} = f - t l^{N}$ , t ∈ ℂ, using the notion of polar invariant of the plane curve f = 0 with respect to a smooth curve l = 0. More precisely we compute the jacobian Newton polygon of the generic fiber $f_{t}$ , t ∈ ℂ. The main result gives the description of pencils which have an irreducible fiber. Furthermore we prove some applications of the local properties of pencils to singularities at infinity of polynomials in two complex variables.

Géométrie, points entiers et courbes entières

Pascal Autissier (2009)

Annales scientifiques de l'École Normale Supérieure

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Soit $X$ une variété projective sur un corps de nombres $K$ (resp. sur $ℂ$ ). Soit $H$ la somme de « suffisamment de diviseurs positifs » sur $X$ . On montre que tout ensemble de points quasi-entiers (resp. toute courbe entière) dans $X - H$ est non Zariski-dense.

Sur un problème de Rényi et Ivić concernant les fonctions de diviseurs de Piltz

Rimer Zurita (2013)

Acta Arithmetica

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Let Ω(n) and ω(n) denote the number of distinct prime factors of the positive integer n, counted respectively with and without multiplicity. Let $d_{k} (n)$ denote the Piltz function (which counts the number of ways of writing n as a product of k factors). We obtain a precise estimate of the sum $\sum_{n \leq x, Ω (n) - ω (n) = q} f (n)$ for a class of multiplicative functions f, including in particular $f (n) = d_{k} (n)$ , unconditionally if 1 ≤ k ≤ 3, and under some reasonable assumptions if k ≥ 4. The result also applies to f(n) = φ(n)/n (where φ is...

Présentation jordanienne de l'algèbre de Weyl A₂

J. Alev, F. Dumas (2001)

Annales Polonici Mathematici

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Let k be a commutative field. For any a,b∈ k, we denote by $J_{a, b} (k)$ the deformation of the 2-dimensional Weyl algebra over k associated with the Jordanian Hecke symmetry with parameters a and b. We prove that: (i) any $J_{a, b} (k)$ can be embedded in the usual Weyl algebra A₂(k), and (ii) $J_{a, b} (k)$ is isomorphic to A₂(k) if and only if a = b.

Une formule pour les extensions de foncteurs composés

Alain Troesch (2003)

Fundamenta Mathematicae

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Let p be a prime, and let ℱ be the category of functors from the finite $_{p}$ -vector spaces to all $_{p}$ -vector spaces. The object Id of ℱ is the inclusion functor. Let F and G be two objects in ℱ. If F and G satisfy suitable conditions, the main result of this paper allows one to compute $E x t *_{ℱ} (I d, G \circ F)$ from the knowledge of $E x t *_{ℱ} (I d, F)$ and $E x t *_{ℱ} (I d, G)$ .

Stabilité $L^{1}$ d’ondes progressives de lois de conservation scalaires

Denis Serre (1998-1999)

Séminaire Équations aux dérivées partielles

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A powerfull method has been developped in [2] for the study of $L^{1}$ -stability of travelling waves in conservation laws or more generally in equations which display $L^{1}$ -contractivity, maximum principle and mass conservation. We recall shortly the general procedure. We also show that it partly applies to the waves of a model of radiating gas. These waves have first been studied by Kawashima and Nishibata [5,6] in a different framework. Therefore, shock fronts for this model are stable under...

$R$ -matrice universelle pour $U_{h} (D (2, 1, x))$ et invariant d’entrelacs associé

Henrik Thys (2002)

Bulletin de la Société Mathématique de France

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En utilisant la méthode du double quantique, nous construisons une $R$ -matrice universelle pour la quantification de la superalgèbre de Lie $D (2, 1, x)$ . Nous utilisons ce résultat pour construire un invariant d’entrelacs et nous montrons qu’il est égal à une spécialisation du polynôme de Dubrovnik introduit par Kauffman.

Inégalités à poids pour l'opérateur de Hardy-Littlewood-Sobolev dans les espaces métriques mesurés à deux demi-dimensions

David Mascré (2006)

Colloquium Mathematicae

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On a metric measure space (X,ϱ,μ), consider the weight functions $w_{α} (x) = ϱ {(x, z ₀)}^{- α ₀}$ if ϱ(x,z₀) < 1, $w_{α} (x) = ϱ {(x, z ₀)}^{- α ₁}$ if ϱ(x,z₀) ≥ 1, $w_{β} (x) = ϱ {(x, z ₀)}^{- β ₀}$ if ϱ(x,z₀) < 1, $w_{β} (x) = ϱ {(x, z ₀)}^{- β ₁}$ if ϱ(x,z₀) ≥ 1, where z₀ is a given point of X, and let $κ_{a} : X \times X \to ℝ ₊$ be an operator kernel satisfying $κ_{a} (x, y) \leq c ϱ {(x, y)}^{a - d}$ for all x,y ∈ X such that ϱ(x,y) < 1, $κ_{a} (x, y) \leq c ϱ {(x, y)}^{a - D}$ for all x,y ∈ X such that ϱ(x,y)≥ 1, where 0 < a < min(d,D), and d and D are respectively the local and global volume growth rate of the space X. We determine conditions on a, α₀, α₁, β₀, β₁ ∈ ℝ for the Hardy-Littlewood-Sobolev...

Sur l'existence d'une infinité continue de structures asymptotiques sur $\mathbf{H}^{2}$

Renata Grimaldi (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the conformal class of the hyperbolic plan $\mathbf{H}^{2}$ .

Sur l'existence d'une infinité continue de structures asymptotiques sur $\mathbf{H}^{2}$

Renata Grimaldi (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Fonctions maximales centrées de Hardy-Littlewood sur les groupes de Heisenberg

Hong-Quan Li (2009)

Studia Mathematica

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By getting uniformly asymptotic estimates for the Poisson kernel on Heisenberg groups $ℍ_{2 n + 1}$ , we prove that there exists a constant A > 0, independent of n ∈ ℕ*, such that for all $f \in L ¹ (ℍ_{2 n + 1})$ , we have ${| | M f | |}_{L^{1, \infty}} \leq A n | | f | | ₁$ , where M denotes the centered Hardy-Littlewood maximal function defined by the Carnot-Carathéodory distance or by the Korányi norm.

Displaying similar documents to “Conditions nécessaires d’existence des ( k , r , s , ) -plans”

Displaying similar documents to “Conditions nécessaires d’existence des $(k, r, s,)$ -plans”