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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: Zhang, Xu
Article Type: Research Article
Abstract: In this paper, we obtain the exact controllability for a class of semilinear plate equations under a superlinear growth assumption on the nonlinearity. For this purpose, we need an explicit observability estimate for the linear plate equation with a potential, which is derived by means of Carleman estimates together with the usual energy estimate.
Keywords: controllability, observability, Carleman estimate, energy estimate, semilinear plate equation
Citation: Asymptotic Analysis, vol. 27, no. 2, pp. 95-125, 2001
Authors: Haddar, H. | Joly, P.
Article Type: Research Article
Abstract: We justify, for a simplified non‐linear law of ferromagnetic materials, the use of effective boundary conditions in order to simulate the effect of thin ferromagnetic coatings in electromagnetic scattering problems. The numerical comparisons between exact an approximate solutions have been done in [2], and the present work quantifies the error with respect to the coating thickness.
Citation: Asymptotic Analysis, vol. 27, no. 2, pp. 127-160, 2001
Authors: Sá Barreto, Antonio
Article Type: Research Article
Citation: Asymptotic Analysis, vol. 27, no. 2, pp. 161-170, 2001
Authors: Dehman, B.
Article Type: Research Article
Citation: Asymptotic Analysis, vol. 27, no. 2, pp. 171-181, 2001
Article Type: Correction
Citation: Asymptotic Analysis, vol. 27, no. 2, pp. 183-183, 2001
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