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Displaying 161 – 180 of 500

Higher-Order Partial Differentiation

Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama (2012)

Formalized Mathematics

In this article, we shall extend the formalization of [10] to discuss higher-order partial differentiation of real valued functions. The linearity of this operator is also proved (refer to [10], [12] and [13] for partial differentiation).

Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H1 (ℝd)

T. Suslina (2010)

Mathematical Modelling of Natural Phenomena

In L2(ℝd; ℂn), we consider a wide class of matrix elliptic second order differential operators $𝒜$ ε with rapidly oscillating coefficients (depending on x/ε). For a fixed τ > 0 and small ε > 0, we find approximation of the operator exponential exp(− $𝒜$ ετ) in the (L2(ℝd; ℂn) → H1(ℝd; ℂn))-operator norm with an error term of order ε. In this approximation, the corrector is taken...

Intégrales singulières, opérateurs multilinéaires et équations aux dérivées partielles

Y. Meyer (1982/1983)

Séminaire Équations aux dérivées partielles (Polytechnique)

Interpolation in $L^{p}$ with boundary conditions

R. Seeley (1972)

Studia Mathematica

Invariance of essential spectra for generalized Schrödinger operators.

Ben Amor, Ali (2004)

Mathematical Physics Electronic Journal [electronic only]

Invariance of the Fredholm radius of the Neumann operator

Dagmar Medková (1990)

Časopis pro pěstování matematiky

Isomorphic type of the space of smooth functions determined by a finite family of differential operators.

Kislyakov, S.V., Maksimov, D.V. (2005)

Zapiski Nauchnykh Seminarov POMI

KAM theory in momentum space and quasiperiodic Schrödinger operators

Claudio Albanese (1993)

Annales de l'I.H.P. Analyse non linéaire

Konstruktion von Fundamentallösungen für Convolutoren.

Olaf von Grudzinski (1976)

Manuscripta mathematica

$L^{p}$ -spectrum of Ornstein-Uhlenbeck operators

Giorgio Metafune (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

$L_{p}$ - theory for a class of singular elliptic differential operators, II

Hans Kretschmer, Hans Triebel (1976)

Czechoslovak Mathematical Journal

$L_{p}$ -theory for a class of singular elliptic differential operators

Hans Triebel (1973)

Czechoslovak Mathematical Journal

La conjecture de Kato

Yves Meyer (2001/2002)

Séminaire Bourbaki

Landesman-Lazer-Alternative Theorems for a Class of Nonlinear Functional Equations.

Jens Frehse (1978)

Mathematische Annalen

L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé

George D. Raikov (1990/1991)

Séminaire de théorie spectrale et géométrie

Le calcul pseudo-différentiel attaché au groupe des transformations du demi-plan de Poincaré

André Unterberger, Julianne Unterberger (1982)

Journées équations aux dérivées partielles

Le comportement asymptotique des valeurs propres d'un opérateur

Pierre Grisvard (1971)

Séminaire Jean Leray

Left-definite variations of the classical Fourier expansion theorem.

Littlejohn, L.L., Zettl, A. (2007)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Lifting-Probleme für Vektorfunktionen und ...-Sequenzen.

Winfried Kaballo, D. Vogt (1980)

Manuscripta mathematica

Limit points of arithmetic means of sequences in Banach spaces

Roman Lávička (2000)

Commentationes Mathematicae Universitatis Carolinae

We shall prove the following statements: Given a sequence ${a_{n}}_{n = 1}^{\infty}$ in a Banach space $𝐗$ enjoying the weak Banach-Saks property, there is a subsequence (or a permutation) ${b_{n}}_{n = 1}^{\infty}$ of the sequence ${a_{n}}_{n = 1}^{\infty}$ such that $lim_{n \to \infty} \frac{1}{n} \sum_{j = 1}^{n} b_{j} = a$ whenever $a$ belongs to the closed convex hull of the set of weak limit points of ${a_{n}}_{n = 1}^{\infty}$ . In case $𝐗$ has the Banach-Saks property and ${a_{n}}_{n = 1}^{\infty}$ is bounded the converse assertion holds too. A characterization of reflexive spaces in terms of limit points and cores of bounded sequences is also given. The motivation for the...

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