You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

Asymptotic Analysis - Volume 63, issue 3

Purchase individual online access for 1 year to this journal.

Price: EUR 420.00
ISSN 0921-7134 (P)
ISSN 1875-8576 (E)

Impact Factor 2024: 1.1

The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. 

Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.

Asymptotic expansions for Taylor coefficients of the composition of two functions

Authors: Hilberdink, Titus

Article Type: Research Article

Abstract: We give an asymptotic expansion for the Taylor coefficients of L(P(z)) where L(z) is analytic in the open unit disc whose Taylor coefficients vary ‘smoothly’ and P(z) is a probability generating function. We show how this result applies to a variety of problems, amongst them obtaining the asymptotics of Bernoulli transforms and weighted renewal sequences.

Keywords: asymptotic expansions, Taylor coefficients, weighted renewal sequences

DOI: 10.3233/ASY-2008-0926

Citation: Asymptotic Analysis, vol. 63, no. 3, pp. 125-142, 2009

Price: EUR 27.50

The limiting absorption principle for an acoustic equation with a refraction coefficient vanishing at infinity

Authors: Eidus, D.

Article Type: Research Article

Abstract: We prove the limiting absorption principle for an equation of forced acoustic stationary oscillations outside a reflecting surface in a case where the refraction coefficient ρ(x) tends to zero at infinity.

Keywords: limiting absorption principle, acoustic equations

DOI: 10.3233/ASY-2009-0936

Citation: Asymptotic Analysis, vol. 63, no. 3, pp. 143-150, 2009

Price: EUR 27.50

Local H 1-regularity and H 1/3−δ-regularity up to the boundary in time dependent viscoplasticity

Authors: Alber, Hans-Dieter | Nesenenko, Sergiy

Article Type: Research Article

Abstract: Local and boundary regularity for quasistatic initial-boundary value problems from viscoplasticity is studied. The problems considered belong to a general class with monotone constitutive equations modelling materials showing kinematic hardening. A standard example is the Melan–Prager model. It is shown that the strain/stress/internal variable fields have the regularity H4/3−δ /H1/3−δ /H1/3−δ up to the boundary. The proof uses perturbation estimates for monotone operator equations.

Keywords: regularity, plasticity, viscoplasticity, maximal monotone operator, difference quotient technique, interpolation, model of Melan–Prager

DOI: 10.3233/ASY-2009-0933

Citation: Asymptotic Analysis, vol. 63, no. 3, pp. 151-187, 2009

Price: EUR 27.50
Show more