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Journal Articles Mathematische Zeitschrift Year : 2002

Global solutions and self-similar solutions of semilinear wave equation

Abstract

We prove existence, uniqueness and regularity results for the global solutions of the semilinear wave equations. In particular, we show existence of regular self-similar solutions. Also, we build some finite-energy asymptotically self-similar solutions.

Dates and versions

hal-00693620 , version 1 (02-05-2012)

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Francis Ribaud, A Youssfi. Global solutions and self-similar solutions of semilinear wave equation. Mathematische Zeitschrift, 2002, 239 (2), pp.231--262. ⟨10.1007/s002090100293⟩. ⟨hal-00693620⟩
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