51 citations · 139 across the 18 of their papers we have counts for
18 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…
Remarks on a system of quasi-linear wave equations in D satisfying the weak null condition
Kunio Hidano, Dongbing Zha
We give an alternative proof of the global existence result originally due to Hidano and Yokoyama for the Cauchy problem for a system of quasi-linear wave equations in three space…
Global low regularity solutions for nonlinear elastic waves
Kunio Hidano, Dongbing Zha
We study the Cauchy problem for 3-D nonlinear elastic waves satisfying the null condition with low regularity initial data. In the radially symmetric case, we prove the global exis…
Space-time estimates, regularity and almost global existence for elastic waves
Kunio Hidano, Dongbing Zha
In this paper, we first establish a kind of weighted space-time estimate, which belongs to Keel-Smith-Sogge type estimates, for perturbed linear elastic wave equations. This…