Add to ORKGIn this paper we consider the Cauchy problem for semilinear wave equation with critical and focussing non linear term. We prove that for space dimension not greeter than 7, and for regular initial data sufficiently small in the energy norm, the solutions exists for all time and remain as regular as the data permi
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
National audienceWe prove some results about existence, uniqueness and regularity properties of glob...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...
Abstract. In this paper, we study the global existence and regularity of Hölder continuous solution...
AbstractWe study the global Cauchy problem for the non-linear wave equation □ϑ + ¦ϑ¦p−1 ϑ = 0 for th...
In this paperweconsider theCauchy problem for the semilinear dampedwave equationutt -.u + ut = h(u),...
Abstract We study the global Cauchy problem for the non-linear wave equation □ϑ + ¦ϑ¦ p−1 ...
We discuss the existence of a global small solution to the Cauchy problem for a system of quasilinea...
AbstractWe consider the Cauchy problem for systems of semilinear wave equations in two and three spa...
Abstract. We prove that solutions to the critical wave equation (1.1) with dimension n ≥ 4 can not b...
AbstractIn this paper we consider the critical exponent problem for the semilinear wave equation wit...
In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The ...
Abstract. In this paper, we consider the Cauchy problem of semilinear wave equations which satisfy t...
We consider two problems, the first of which is a nonlinear wave equation on the two-dimensional sph...
(Communicated by Grozdena Todorova) Abstract. This paper corrects Asakura's observation on semi...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
National audienceWe prove some results about existence, uniqueness and regularity properties of glob...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...
Abstract. In this paper, we study the global existence and regularity of Hölder continuous solution...
AbstractWe study the global Cauchy problem for the non-linear wave equation □ϑ + ¦ϑ¦p−1 ϑ = 0 for th...
In this paperweconsider theCauchy problem for the semilinear dampedwave equationutt -.u + ut = h(u),...
Abstract We study the global Cauchy problem for the non-linear wave equation □ϑ + ¦ϑ¦ p−1 ...
We discuss the existence of a global small solution to the Cauchy problem for a system of quasilinea...
AbstractWe consider the Cauchy problem for systems of semilinear wave equations in two and three spa...
Abstract. We prove that solutions to the critical wave equation (1.1) with dimension n ≥ 4 can not b...
AbstractIn this paper we consider the critical exponent problem for the semilinear wave equation wit...
In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The ...
Abstract. In this paper, we consider the Cauchy problem of semilinear wave equations which satisfy t...
We consider two problems, the first of which is a nonlinear wave equation on the two-dimensional sph...
(Communicated by Grozdena Todorova) Abstract. This paper corrects Asakura's observation on semi...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
National audienceWe prove some results about existence, uniqueness and regularity properties of glob...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...