51 citations · 139 across the 18 of their papers we have counts for
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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…
Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation
Kunio Hidano, Chengbo Wang
We show new results of wellposedness for the Cauchy problem for the half wave equation with power-type nonlinear terms. For the purpose, we propose two approaches on the basis of t…
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…