Displaying similar documents to “Entropy numbers of diagonal operators of logarithmic type.”

Entropy solution for anisotropic reaction-diffusion-advection systems with L data.

Mostafa Bendahmane, Mazen Saad (2005)

Revista Matemática Complutense

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In this paper, we study the question of existence and uniqueness of entropy solutions for a system of nonlinear partial differential equations with general anisotropic diffusivity and transport effects, supplemented with no-flux boundary conditions, modeling the spread of an epidemic disease through a heterogeneous habitat.

Large time behaviour of a class of solutions of second order conservation laws

Jan Goncerzewicz, Danielle Hilhorst (2000)

Banach Center Publications

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% We study the large time behaviour of entropy solutions of the Cauchy problem for a possibly degenerate nonlinear diffusion equation with a nonlinear convection term. The initial function is assumed to have bounded total variation. We prove the convergence of the solution to the entropy solution of a Riemann problem for the corresponding first order conservation law.

Entropy numbers of general diagonal operators.

Thomas Kühn (2005)

Revista Matemática Complutense

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We determine the asymptotic behavior of the entropy numbers of diagonal operators D: l → l, (x) → (sx), 0 < p,q ≤ ∞, under mild regularity and decay conditions on the generating sequence (σ). Our results extend the known estimates for polynomial and logarithmic diagonals (σ). Moreover, we also consider some exotic intermediate examples like (σ)=exp(-√log k).

Convexity inequalities for estimating generalized conditional entropies from below

Alexey E. Rastegin (2012)

Kybernetika

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Generalized entropic functionals are in an active area of research. Hence lower and upper bounds on these functionals are of interest. Lower bounds for estimating Rényi conditional α -entropy and two kinds of non-extensive conditional α -entropy are obtained. These bounds are expressed in terms of error probability of the standard decision and extend the inequalities known for the regular conditional entropy. The presented inequalities are mainly based on the convexity of some functions....