We consider the Cauchy problem for some semi-linear wave equations in three space dimensions and prove global or almost global existence of the Klainerman-Machedon radial solutions. The proof is carried out by a contraction-mapping argument based on a refined version of the Keel-Smith-Sogge estimate, together with the Morawetz-type inequality
AbstractFor a class of initial-value problems associated with the nonlinear wave equation of the tit...
AbstractThe final open part of Straussʼ conjecture on semilinear wave equations was the blow-up theo...
We give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasi-li...
We consider the Cauchy problem for some semi-linear wave equations in three space dimensions and pro...
Abstract. We consider the Cauchy problem for some semi-linear wave equations in three space dimensio...
We shall give a new proof of temporally global existence of small solutions for systems of semi-line...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 4~6, 2016. edited by Hideo Ku...
We shall give a new proof of temporally global existence of small solutions for sys-tems of semi-lin...
Abstract. We prove that a certain class of semilinear wave equations has global solutions if the ini...
Abstract This article focuses on long-time existence for quasilinear wave equations with small initi...
In this paper, we prove some blow-up results for the semilinear wave equation in generalized Einstei...
We prove sharp Strichartz-type estimates in three dimensions, including some which hold in reverse s...
We give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasi-li...
This work establishes an almost global existence result for systems of semilinear wave equations in ...
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 wit...
AbstractFor a class of initial-value problems associated with the nonlinear wave equation of the tit...
AbstractThe final open part of Straussʼ conjecture on semilinear wave equations was the blow-up theo...
We give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasi-li...
We consider the Cauchy problem for some semi-linear wave equations in three space dimensions and pro...
Abstract. We consider the Cauchy problem for some semi-linear wave equations in three space dimensio...
We shall give a new proof of temporally global existence of small solutions for systems of semi-line...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 4~6, 2016. edited by Hideo Ku...
We shall give a new proof of temporally global existence of small solutions for sys-tems of semi-lin...
Abstract. We prove that a certain class of semilinear wave equations has global solutions if the ini...
Abstract This article focuses on long-time existence for quasilinear wave equations with small initi...
In this paper, we prove some blow-up results for the semilinear wave equation in generalized Einstei...
We prove sharp Strichartz-type estimates in three dimensions, including some which hold in reverse s...
We give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasi-li...
This work establishes an almost global existence result for systems of semilinear wave equations in ...
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 wit...
AbstractFor a class of initial-value problems associated with the nonlinear wave equation of the tit...
AbstractThe final open part of Straussʼ conjecture on semilinear wave equations was the blow-up theo...
We give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasi-li...