10 citations · 24 across the 11 of their papers we have counts for
11 papers
Critical exponent for nonlinear wave equations with damping and potential terms
Masakazu Kato, Hideo Kubo
The aim of this paper is to determine the critical exponent for the nonlinear wave equations with damping and potential terms of the scale invariant order, by assuming that these t…
Global solvabilty for nonlinear wave equations with singular potential
Vladimir Georgiev, Hideo Kubo
In this work we study the global existence for 3d semilinear wave equation with non-negative potential satisfying generic decay assumptions. In the supercritical case we establish…
Blow-up for Strauss type wave equation with damping and potential
Wei Dai, Hideo Kubo, Motohiro Sobajima
We study a kind of nonlinear wave equations with damping and potential, whose coefficients are both critical in the sense of the scaling and depend only on the spatial variables. B…
Critical exponent for nonlinear damped wave equations with non-negative potential in 3D
Vladimir Georgiev, Hideo Kubo, Kyouhei Wakasa
We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding…
Almost global existence for exterior Neumann problems of semilinear wave equations in 2D
Soichiro Katayama, Hideo Kubo, Sandra Lucente
The aim of this article is to prove an "almost" global existence result for some semilinear wave equations in the plane outside a bounded convex obstacle with the Neumann boundary…
Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions
Hideo Kubo
In this paper we deal with the exterior problem for a system of nonlinear wave equations in two space dimensions, assuming that the initial data is small and smooth. We establish t…