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| Title: | Self-similar solutions of semilinear wave equations with a focusing nonlinearity |
| Authors: | Bizoń, Piotr Maison, Dieter Wasserman, Arthur |
| Issue Date: | 1-Sep-2007 |
| Publisher: | IOP Publishing Ltd |
| Citation: | Bizoń, Piotr; Maison, Dieter; Wasserman, Arthur (2007). "Self-similar solutions of semilinear wave equations with a focusing nonlinearity." Nonlinearity. 20(9): 2061-2074. <http://hdl.handle.net/2027.42/58120> |
| Abstract: | We prove that in three space dimensions a nonlinear wave equation utt − Δu = up, with pges; 7 being an odd integer, has a countable family of regular spherically symmetric self-similar solutions. |
| ISSN: | 0951-7715 |
| DOI: | 10.1088/0951-7715/20/9/003 |
| Appears in Collections: | Interdisciplinary and Peer-Reviewed Mathematics, Department of
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| non7_9_003.pdf | | 197Kb | Adobe PDF | View/Open |
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