Results 201 to 210 of about 4,846 (246)

Sensing-Assisted Secure Communications over Correlated Rayleigh Fading Channels. [PDF]

Entropy (Basel)
Mittelbach M, Schaefer RF, Bloch M, Yener A, Günlü O.   +4 more
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Differentiating an integral function at a point of discontinuity of the integrand

International Journal of Mathematical Education in Science and Technology, 1990
Suppose f is a real valued function which is Riemann integrable on the interval [a, b]. Let Suppose further that x 0e(a, b), that f is continuous on a deleted neighbourhood of x 0, but that f is discontinuous at x 0. We find that if x 0 is a removable discontinuity, then F‘(x 0) exists but F‘(x o)?f(x 0), and that if x 0 is a jump discontinuity then F‘(
John Klippert
exaly   +2 more sources

A COUNTEREXAMPLE IN HOMOGENIZATION OF FUNCTIONALS WITH ANALYTIC INTEGRAND

, 1994
We prove that the homogenization in Calculus of Variations of the functional represented by the integrand f (x, xi) = a(x) \xi\(4), where xi epsilon R(2) and a is a measurable periodic and positive real valued function on R(2), has an integrand f(infinity):R(2) --> R which is not a polynomial.
CABIB, Elio
core   +5 more sources

Necessary optimality conditions for a class of optimal control problems with discontinuous integrand

Proceedings of the Steklov Institute of Mathematics, 2008
We consider a nonlinear optimal control problem with an integral functional in which the integrand contains the characteristic function of a given closed subset of the phase space.
A I Smirnov
exaly   +2 more sources

Mosco approximation of integrands and integral functionals

Journal of Optimization Theory and Applications, 1996
Summary: We show that given a lower semi-continuous convex integrand \(f\), satisfying a suitable integrability condition, there exists a sequence of Lipschitz simple integrands which Mosco converges to \(f\) and such that the sequence of conjugate integrands Mosco converges to \(f^*\).
Couvreux, J., Hess, C.
openaire   +2 more sources

ASYMPTOTICS OF THE SELBERG ZETA FUNCTION AND THE POLYAKOV BOSONIC INTEGRAND

Mathematical Aspects of String Theory, 1987
Scott A Wolpert
exaly   +2 more sources

On Seminormality of Integral Functionals and Their Integrands

SIAM Journal on Control and Optimization, 1986
The author presents a definition of seminormality of functions taking values in \({\bar {\mathbb{R}}}\), extending classical notions due to Tonelli, McShane, Cesari, and states that the notion of seminormality in the small coincides with seminormality in the large, i.e.
openaire   +1 more source

On Γ−-convergence of functionals with analytic integrand

Annali di Matematica Pura ed Applicata, 1993
This paper is concerned with \(\Gamma\)-convergence of sequences of simple integral functionals of the calculus of variations. It shows that, under suitable conditions, some differentiability properties of the integrands of the approximating functionals, in particular the analyticity, remain true for the integrand of the \(\Gamma\)-limit functional.
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Minimization with integrands composed of minimum of convex functions

Nonlinear Analysis: Theory, Methods & Applications, 2001
Let \(\Omega\) be a smooth bounded domain of \({\mathbb R}^n\). Then the paper is concerned with minimization problems of the form \[ \alpha=\inf\left\{\int_\Omega\min\{f(v,Dv),g(v,Dv)\}dx : v\in H^1(\Omega;{\mathbb R}^m)\right\}, \] under the assumption that the two integral functionals \[ v\to\int_\Omega f(v,Dv)dx\;\text{ and } v\to\int_\Omega g(v,Dv)
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Convergence of minima of integral functionals and multiplicative perturbations of the integrands

Annali di Matematica Pura ed Applicata, 1988
Considered is a sequence of functions \[ f_ h: (x,z)\in R^ n\times R^ n\to f_ h(x,z)\in [0,+\infty [,\quad h=1,2,...,\infty \] measurable in x, convex in z such that \[ | z|^ p\leq f_ h(x,z)\leq \Lambda (1+| z|^ p),\quad \Lambda \geq 1,\quad p>1 \] and verifying a standard consequence of \(\Gamma\)-convergence theory, i.e., for every bounded open set \(
De Arcangelis, Riccardo, Donato, Patrizia   +1 more
openaire   +1 more source