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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3926

Title: The Kirchhoff Equation with Global Solutions in Unbounded Domains
Authors: Matsuyama, Tokio
Keywords: Kirchhoff equation
unbounded domains
generalized Fourier transform
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Tokio Matsuyama, "The Kirchhoff Equation with Global Solutions in Unbounded Domains”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 125-141.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Abstract: The aim of this paper is to find a general class of data in which the global well-posedness for the initial-boundary value problem to the Kirchhoff equation in unbounded domains is assured. The result obtained in the present paper will be applied to the existence of scattering operators. Some examples of function spaces contained in this class will be presented.
URI: http://hdl.handle.net/10077/3926
ISSN: 0049-4704
MS Classification 2000: 35L05
35L10
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.

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