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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: Zielinski, Lech
Article Type: Research Article
Abstract: We consider the Weyl formula for the asymptotic number of eigenvalues N(\lambda) for some elliptic operators. We prove remainder estimates of the form N(\lambda){\rm O}(\lambda^{-\mu}) with \mu depending on the regularity of coefficients and ranging between 0 and the optimal value in the standard situation of smooth coefficients, i.e., 0<\mu<2/m in the case of globally elliptic operators on {\NBbbR}^d , and 0<\mu<1/m in the case of a smooth compact manifold without boundary, where m is the degree of the considered operators.
Citation: Asymptotic Analysis, vol. 17, no. 2, pp. 93-120, 1998
Authors: Xiao, Li‐ming
Article Type: Research Article
Abstract: Starting from the three‐dimensional dynamic equations of elastic shells, by the asymptotic analysis, under certain conditions we give the justification of dynamic equations of membrane shells.
Keywords: Dynamics for elastic shells, asymptotic analysis, membrane shells, displacement, body force density
Citation: Asymptotic Analysis, vol. 17, no. 2, pp. 121-134, 1998
Authors: Solonnikov, V.A.
Article Type: Research Article
Citation: Asymptotic Analysis, vol. 17, no. 2, pp. 135-163, 1998
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