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 23, issue 2

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.

Complex WKB method for 3‐level scattering systems

Authors: Joye, Alain | Pfister, Charles‐Edouard

Article Type: Research Article

Abstract: In this note the S ‐matrix naturally associated with a singularly perturbed three‐dimensional system of linear differential equations without turning point on the real axis is considered. It is shown that for a fairly large class of examples, the Complex WKB method gives results far better than what is proven under generic circumstances. In particular, we show how to compute asymptotically all exponentially small off‐diagonal elements of the corresponding S ‐matrix.

Keywords: Singular perturbations, semiclassical analysis, adiabatic approximations, exponential asymptotics, n‐level S‐matrix, turning point theory

Citation: Asymptotic Analysis, vol. 23, no. 2, pp. 91-109, 2000

Price: EUR 27.50

Spectrum of elliptic operators and stability of travelling waves

Authors: Volpert, A.I. | Volpert, V.A.

Article Type: Research Article

Abstract: Location of the discrete and continuous spectrum of the operator corresponding to a boundary value problem for an elliptic system of equations in an unbounded cylinder is studied. Stability of multi‐dimensional travelling waves with respect to small perturbations is proved. These results allow us to prove global stability of travelling waves, i.e., that they describe large time asymptotic of solutions of the initial‐boundary value problem for a class of initial conditions, and to obtain a minimax representation for the wave velocity.

Citation: Asymptotic Analysis, vol. 23, no. 2, pp. 111-134, 2000

Price: EUR 27.50

On some nonlinear partial differential equations involving the p‐Laplacian and critical Sobolev trace maps

Authors: Demengel, Françoise | Nazaret, Bruno

Article Type: Research Article

Abstract: In this article, we study some partial differential equations with Neumann nonlinear boundary conditions, related to the problem of the best constant from W^{1,p}(\varOmega) to L^{p^\star}(\curpartial\varOmega) , where p^\star is the critical Sobolev exponent for the embedding of W^{1,p}(\varOmega) into L^{q}(\curpartial\varOmega) (\varOmega is a bounded \mathcal{C}^1 open set and p<N ).

Citation: Asymptotic Analysis, vol. 23, no. 2, pp. 135-156, 2000

Price: EUR 27.50

Homogenization of media with periodically distributed conductors

Authors: Carbone, L. | De Arcangelis, R. | De Maio, U.

Article Type: Research Article

Citation: Asymptotic Analysis, vol. 23, no. 2, pp. 157-194, 2000

Price: EUR 27.50
Show more