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Global solutions and self-similar solutions of nonlinear wave equations

Abstract : We prove some results about existence, uniqueness and regularity properties of global solutions of the nonlinear wave equations. In particular we show existence of regular self-similar solutions. We build also a family of finite energy solutions which converge asymptotically to self-similar solutions. (C) Academie des Sciences/Elsevier, Paris.
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Francis Ribaud, A Youssfi. Global solutions and self-similar solutions of nonlinear wave equations. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1999, 329 (1), pp.33--36. ⟨10.1016/S0764-4442(99)80456-X⟩. ⟨hal-00693881⟩

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