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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3925

Title: A Remark on Long Range Effect for a System of Semilinear Wave Equations
Authors: Kubo, Hideo
Takaki, Motoharu
Keywords: system of semilinear wave equations
asymptotic behavior
long range effect
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Hideo Kubo, Motoharu Takaki, "A Remark on Long Range Effect for a System of Semilinear Wave Equations”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 111-123.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Abstract: In this paper we consider the Cauchy problem for a system of semilinear wave equations whose nonlinearity has long range effect on the solution. Such a result was obtained by Kubo, Kubota, and Sunagawa (Math. Ann. 335 (2006)) under the assumption that the initial data are radially symmetric. The aim of this paper is to remove the radial symmetricity of the initial data for typical cases of the nonlinearities.
URI: http://hdl.handle.net/10077/3925
ISSN: 0049-4704
MS Classification 2000: 35L20
35B40
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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