Convolutions of Rayleigh functions and their application to semi-linear equations in circular domains

DOI10.1016/j.jmaa.2006.05.016zbMath1107.33013OpenAlexW2001060905MaRDI QIDQ860681

Vladimir V. Varlamov

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.016

zbMATH Keywords

convolutionBoussinesq equationasymptoticeigenfunctionBessel functionReyleigh function

Mathematics Subject Classification ID

Related Items (2)

Global solutions and smoothing effects for semi-linear evolution equations in circular domains ⋮ Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals

Cites Work

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• On the damped Boussinesq equation in a circle
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• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Sum rules for zeros of Bessel functions and an application to spherical Aharonov-Bohm quantum bags
• The Rayleigh Function
• On the spatially two-dimensional Boussinesq equation in a circular domain
• Dynamics of evolutionary equations

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