National audienceWe 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
AbstractWe discuss the existence of global or periodic solutions to the nonlinear wave equation [utt...
AbstractWe present a systematic study of local solutions of the ODE of the form x″=1tf(t,x,x′) near ...
Abstract: In this paper the nonexistence of global solutions to wave equations of the type utt ¡ ¢u ...
International audienceWe prove existence, uniqueness and regularity results for the global solutions...
Abstract. In this paper, we study the global existence and regularity of Hölder continuous solution...
We study the existence of self-similar solutions to the Cauchy problem for semilinear wave equations...
We study the existence of self-similar solutions to the Cauchy problem for semilinear wave equations...
We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a fo...
In this paper we consider the Cauchy problem for semilinear wave equation with critical and focussi...
We consider two problems, the first of which is a nonlinear wave equation on the two-dimensional sph...
We prove that in three space dimensions a nonlinear wave equation utt − Δu = up, with pges; 7 being ...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
This paper studies the existence of global solutions to the initial-boundary value problem for some ...
AbstractWe prove convergence of global, bounded, and smooth solutions of the wave equation with line...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
AbstractWe discuss the existence of global or periodic solutions to the nonlinear wave equation [utt...
AbstractWe present a systematic study of local solutions of the ODE of the form x″=1tf(t,x,x′) near ...
Abstract: In this paper the nonexistence of global solutions to wave equations of the type utt ¡ ¢u ...
International audienceWe prove existence, uniqueness and regularity results for the global solutions...
Abstract. In this paper, we study the global existence and regularity of Hölder continuous solution...
We study the existence of self-similar solutions to the Cauchy problem for semilinear wave equations...
We study the existence of self-similar solutions to the Cauchy problem for semilinear wave equations...
We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a fo...
In this paper we consider the Cauchy problem for semilinear wave equation with critical and focussi...
We consider two problems, the first of which is a nonlinear wave equation on the two-dimensional sph...
We prove that in three space dimensions a nonlinear wave equation utt − Δu = up, with pges; 7 being ...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
This paper studies the existence of global solutions to the initial-boundary value problem for some ...
AbstractWe prove convergence of global, bounded, and smooth solutions of the wave equation with line...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
AbstractWe discuss the existence of global or periodic solutions to the nonlinear wave equation [utt...
AbstractWe present a systematic study of local solutions of the ODE of the form x″=1tf(t,x,x′) near ...
Abstract: In this paper the nonexistence of global solutions to wave equations of the type utt ¡ ¢u ...
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