TITLE

A variational principle in discrete space�time: existence of minimizers

AUTHOR(S)
Finster, Felix
PUB. DATE
August 2007
SOURCE
Calculus of Variations & Partial Differential Equations;Aug2007, Vol. 29 Issue 4, p431
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We formulate a variational principle for a collection of projectors in an indefinite inner product space. The existence of minimizers is proved in various situations.
ACCESSION #
25137944

 

Related Articles

  • ON n-NORMS AND BOUNDED n-LINEAR FUNCTIONALS IN A HILBERT SPACE. GOZALI, S. M.; GUNAWAN, H.; NESWAN, O. // Annals of Functional Analysis;Jun2010, Vol. 1 Issue 1, p72 

    In this paper we discuss the concept of n-normed spaces. In particular, we show the equality of four different formulas of n-norms in a Hilbert space. In addition, we study the notion of bounded n-linear functionals on an n-normed space and present some results on it.

  • Direct approach to the problem of strong local minima in calculus of variations. Grabovsky, Yury; Mengesha, Tadele // Calculus of Variations & Partial Differential Equations;May2007, Vol. 29 Issue 1, p59 

    The paper introduces a general strategy for identifying strong local minimizers of variational functionals. It is based on the idea that any variation of the integral functional can be evaluated directly in terms of the appropriate parameterized measures. We demonstrate our approach on a problem...

  • Topological equivalence of functions on oriented surfaces. Kadubovs'kyi, O. // Ukrainian Mathematical Journal;Mar2006, Vol. 58 Issue 3, p388 

    On closed oriented surfaces of genus g ≥ 1, we consider functions that possess only one saddle critical point in addition to local maxima and minima. We study the problem of the realization of these functions on surfaces and construct an invariant that distinguishes them. For surfaces of...

  • The structural and electronic properties of compound SnmOn clusters studied by the Density Functional Theory. Mazzone, A. M.; Morandi, V. // European Physical Journal B -- Condensed Matter;Jun2006, Vol. 51 Issue 3, p307 

    The purpose of this study is the assessment of the properties of compound SnmOn clusters (m=1, 2, 3, 4 and n=1,..,10) and is justified by the theoretical and practical importance of the crystalline stannic oxides and of the related silicon-oxygen systems. The optimized structure is obtained from...

  • calculus of variations.  // Hutchinson Dictionary of Scientific Biography;2005, p1 

    Method of calculation for solving problems in which one of the unknowns cannot be expressed as a number or a finite set of numbers, but is representable as a curve, a function or a system of functions. (A classic problem in the subject is to show that a circle, among all curves of fixed length,...

  • LIPSCHITZ.  // Encyclopedia of Operations Research & Management Science;2001, p457 

    The encyclopedia entry for the term Lipschitz is presented. It refers to a function that is said to be where every pair of points are less than or equal to other values.

  • LOCAL MAXIMUM.  // Encyclopedia of Operations Research & Management Science;2001, p459 

    The encyclopedia entry for Local Maximum is presented. It refers to a function f(x) derived over a set of points S is said to have a local maximum at a point x0 in S if f(x0) ≥ f(x) for all x in a neighborhood of x0 in S.

  • LOCAL MINIMUM.  // Encyclopedia of Operations Research & Management Science;2001, p459 

    The encyclopedia entry for Local Minimum is presented. It refers to a function f(x) derived over a set of points S is said to have a local minimum at a point x0 in S if(x0) ≤ f(x) for all x in a neighborhood of x0 in S.

  • Two surprising maximisation problems. LORD, NICK // Mathematical Gazette;Nov2013, Vol. 97 Issue 540, p535 

    The article presents two surprising problems on maximisation.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics