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Asymptotic Analysis - Volume 28, issue 2

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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.

Life‐span of subcritical semilinear wave equation

Authors: Di Pomponio, S. | Georgiev, V.

Article Type: Research Article

Abstract: We establish a new weighted Strichartz estimate for the classical wave equation and apply this estimate to the study of life‐span of solution of subcritical semilinear wave equation.

Keywords: semilinear wave equation, Strichartz estimate, life‐span

Citation: Asymptotic Analysis, vol. 28, no. 2, pp. 91-114, 2001

Price: EUR 27.50

Regular and singular solutions of a quasilinear equation with weights

Authors: Bidaut‐Véron, Marie‐Françoise | García‐Huidobro, Marta

Article Type: Research Article

Abstract: In this article we study the behavior near 0 of the nonnegative solutions of the equation −div(a(x)|∇u|p−2 ∇u)=b(x)|u|δ−1 u, x∈Ω\{0}, where Ω is a domain of RN containing 0, and δ>p−1>0, a, b are nonnegative weight functions. We give a complete classification of the solutions in the radial case, and punctual estimates in the nonradial one. We also consider the Dirichlet problem in Ω.

Citation: Asymptotic Analysis, vol. 28, no. 2, pp. 115-150, 2001

Price: EUR 27.50

A probabilistic approach to the homogenization of divergence‐form operators in periodic media

Authors: Lejay, Antoine

Article Type: Research Article

Abstract: We prove here using stochastic analysis the homogenization property of second‐order divergence‐form operators with lower‐order differential terms (possibly highly‐oscillating) in periodic media. The coefficients are not assumed to have any regularity, so the stochastic calculus theory for processes associated to Dirichlet forms is used. The Girsanov theorem and the Feynman–Kac formula are used to work on the probabilistic representation of the solutions of some PDEs.

Keywords: divergence‐form operators, Dirichlet forms, homogenization, Feynman–Kac formula, Girsanov theorem

Citation: Asymptotic Analysis, vol. 28, no. 2, pp. 151-162, 2001

Price: EUR 27.50

Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems

Authors: Schneider, Guido | Uecker, Hannes

Article Type: Research Article

Abstract: Nonlinear coupled mode equations occur as universal modulation equations in various circumstances. It is the purpose of this paper to prove exact estimates between the approximations obtained via the nonlinear coupled mode equations and solutions of the original parabolic or hyperbolic systems. The models which we consider contain all difficulties which have to be overcome in the general case.

Citation: Asymptotic Analysis, vol. 28, no. 2, pp. 163-180, 2001

Price: EUR 27.50
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