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 4, issue 1

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.

Uniform estimates for some degenerating quasilinear elliptic equations and a bound on the Harnack constant for linear equations

Authors: Bardi, Martino | Perthame, Benoît

Article Type: Research Article

Abstract: Let u be any smooth solution of −εaij uxi xj +aij uxi uxj +bi uxi =εc in B1 ={x:|x|<1}, where ε is a small parameter. We prove some uniform estimates on u in W1,q under weak assumptions on the coefficients aij , bi and c. This is motivated by the study of exponential behaviors for solutions of linear elliptic equations −εaij vxi xj +bi vxi +cv=0, as ε goes to 0. For this equation, our result provides an estimate of Harnack type sup Br v≤Cinf Br v, with C=e−krα /ε for … Show more

DOI: 10.3233/ASY-1991-4101

Citation: Asymptotic Analysis, vol. 4, no. 1, pp. 1-16, 1991

Price: EUR 27.50

On a singular perturbation in the linear soliton theory

Authors: Frank, L.S. | Norde, H.W.

Article Type: Research Article

Abstract: Initial-boundary value problems for the linearized Korteweg-de Vries equation with a small dispersion term are considered. Singularities of the corresponding families of the Green and Poisson operators are analysed as the small parameter vanishes. Asymptotic formulae for the eigenvalues and eigenfunctions of the corresponding singularly perturbed operator in the space variable are derived and justified. These formulae yield the conclusion that the dispersive nature of the linearized Korteweg-de Vries equation (in the case of the Cauchy problem) is preserved asymptotically for some perturbation terms in the case of mixed initial-boundary value problems too, when the small parameter goes to zero … Show more

DOI: 10.3233/ASY-1991-4102

Citation: Asymptotic Analysis, vol. 4, no. 1, pp. 17-59, 1991

Price: EUR 27.50

Decay estimates for the solutions of the system of crystal optics

Authors: Liess, Otto

Article Type: Research Article

Abstract: In the present paper, we study decay estimates for solutions of Maxwell's system in homogeneous anisotropic media. While the estimates are similar to related estimates for the wave equation, the main novelty comes from the fact that here we have a case of characteristics with variable multiplicity.

DOI: 10.3233/ASY-1991-4103

Citation: Asymptotic Analysis, vol. 4, no. 1, pp. 61-95, 1991

Price: EUR 27.50
Show more