Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Purchase individual online access for 1 year to this journal.
Price: EUR 420.00Impact 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.
Authors: Gohberg, I. | Kaashoek, M.A. | Sakhnovich, A.L.
Article Type: Research Article
Abstract: Scattering problems are solved for a canonical differential system with a pseudo‐exponential potential v. The latter means that v is defined in terms of a triple consisting of an n×n matrix β and two n×m matrices γ1 and γ2 satisfying β* −β=iγ2 γ2 * , via the formula v(x)=−2iγ1 * eixα* Σ(x)−1 eixα γ, γ=−(γ1 +iγ2 ), where α=β−γ1 γ2 * and the matrix function Σ is given by Σ(x)=In +∫0 x Λ(t)Λ(t)* dt, Λ(x)=[e−ixα γ1 eixα γ]. Such a potential may not be summable. Explicit formulas are presented for the scattering function and the …reflection coefficient of the system, and for other functions defined in terms of the asymptotic properties of the fundamental solution of the corresponding differential system. The corresponding inverse problems are also solved explicitly. The state space method from algebraic system theory is used as a basic tool. The results extend those in [11, 2, 5, 4]. Show more
Citation: Asymptotic Analysis, vol. 29, no. 1, pp. 1-38, 2002
Authors: Aramaki, Junichi
Article Type: Research Article
Abstract: We discuss semi‐classical analysis for the eigenvalues of the Schrödinger operator on ${\mathbb{R}}$ d with magnetic and electoric potentials. We consider the case where the electric potential vanishes precisely of even order at the wells. Our final aim is to clarify that when the operator has a non‐degenerate eigenvalue and then to get the complete asymptotics of the eigenvalue in the semi‐classical sense. Moreover, we give an example which seems to be new.
Citation: Asymptotic Analysis, vol. 29, no. 1, pp. 39-68, 2002
Authors: Motron, Mélissa
Article Type: Research Article
Abstract: In this article, we prove that the best constant for the Sobolev trace map from W1,1 ($\mathbb{R}$ N−1 ×$\mathbb{R}$ + ) into L1 ($\mathbb{R} $ N−1 ×{0}) is 1. We deduce from it that when Ω is a bounded open set whose boundary is piecewise C1 , the best first constant for the Sobolev trace map γ from W1,1 (Ω) into L1 (∂Ω) is also 1, in the sense that: for any ε>0, there exists Bε >0 such that for any u in W1,1 (Ω), ∫∂Ω |u|≤(1+ε)∫Ω |∇u|+Bε ∫Ω |u|. Independently, we prove that the best …second constant for Sobolev trace map from W1,1 (Ω) into L1 (∂Ω) is |∂Ω|/|{Ω}| (where |∂Ω| denotes the (N−1)‐dimensional measure of ∂Ω and |{Ω}| the N‐dimensional measure of Ω) when Ω is a connected open bounded set; in other words, there exists A>0 such that for any u in W1,1 (Ω): ∫∂Ω |u|≤A∫Ω |∇u|+ $\dfrac{|\partial{\Omega}|}{|{\Omega}|}$ ∫Ω |u|. Show more
Citation: Asymptotic Analysis, vol. 29, no. 1, pp. 69-90, 2002
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl