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Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s. >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/3925
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| 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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