115 citations · 1.9k across the 226 of their papers we have counts for
Showing 2014 · math.APShow all
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math.AP2014★ 11 cited
Global well-posedness of the Kirchhoff equation and Kirchhoff systems
Tokio Matsuyama, Michael Ruzhansky
This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results…
math.AP2014★ 39 cited
Wave equation for sums of squares on compact Lie groups
Claudia Garetto, Michael Ruzhansky
In this paper we investigate the well-posedness of the Cauchy problem for the wave equation for sums of squares of vector fields on compact Lie groups. We obtain the loss of regula…
math.AP2014
Recent progress in smoothing estimates for evolution equations
Michael Ruzhansky, Mitsuru Sugimoto
This paper is a survey article of results and arguments from several of authors' papers, and it describes a new approach to global smoothing problems for dispersive and non-dispers…