Self-similar solutions of semilinear wave equations with a focusing nonlinearity

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Bizoń, Piotr; Maison, Dieter; Wasserman, Arthur

2007-09-01

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

DOIs: http://dx.doi.org/10.1088/0951-7715/20/9/003

Handle: http://hdl.handle.net/2027.42/58120

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