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A Remark on Long Range Effect for a System of Semilinear Wave Equations
Kubo, Hideo
Takaki, Motoharu
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Publisher
EUT Edizioni Università di Trieste
Source
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.
Languages
en
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