51 citations · 115 across the 8 of their papers we have counts for
8 papers
Global existence and blow up for systems of nonlinear wave equations related to the weak null condition
Kunio Hidano, Kazuyoshi Yokoyama
We discuss how the higher-order term has nontrivial effects in the lifespan of small solutions to the Cauchy problem for the system of nonlinear wave equati…
Global existence for a system of multiple-speed wave equations violating the null condition
Kunio Hidano, Kazuyoshi Yokoyama, Dongbing Zha
We discuss the Cauchy problem for a system of semilinear wave equations in three space dimensions with multiple wave speeds. Though our system does not satisfy the standard null co…
Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight
Kunio Hidano, Kazuyoshi Yokoyama
Assuming initial data have small weighted norm, we prove global existence of solutions to the Cauchy problem for systems of quasi-linear wave equations in three spa…
Global existence for a system of quasi-linear wave equations in D satisfying the weak null condition
Kunio Hidano, Kazuyoshi Yokoyama
We show global existence of small solutions to the Cauchy problem for a system of quasi-linear wave equations in three space dimensions. The feature of the system lies in that it s…
Life span of small solutions to a system of wave equations
Kunio Hidano, Kazuyoshi Yokoyama
We study the Cauchy problem with small initial data for a system of semilinear wave equations , in -dimensional space. When $n…
Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations
Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama
This paper investigates the combined effects of two distinctive power-type nonlinear terms (with parameters ) in the lifespan of small solutions to semi-linear wave equation…
The Glassey conjecture with radially symmetric data
Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama
In this paper, we verify the Glassey conjecture in the radial case for all spatial dimensions, which states that, for the nonlinear wave equations of the form …
On almost global existence and local well-posedness for some 3-D quasi-linear wave equations
Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama
We study the Cauchy problem for a quasilinear wave equation with low-regularity data. A space-time estimate for the variable coefficient wave equation plays a central role fo…