115 citations · 1.9k across the 226 of their papers we have counts for
4 papers · 2 filters
Global well-posedness of Kirchhoff systems
Tokio Matsuyama, Michael Ruzhansky
The aim of this paper is to establish the global well-posedness for Kirchhoff systems. The new approach to the construction of solutions is based on the asymptotic integratio…
Weakly hyperbolic equations with non-analytic coefficients and lower order terms
Claudia Garetto, Michael Ruzhansky
In this paper we consider weakly hyperbolic equations of higher orders in arbitrary dimensions with time-dependent coefficients and lower order terms. We prove the Gevrey well-pose…
Modulation Spaces and Nonlinear Evolution Equations
Michael Ruzhansky, Mitsuru Sugimoto, Baoxiang Wang
We survey some recent progress on modulation spaces and the well-posedness results for a class of nonlinear evolution equations by using the frequency-uniform localization techniqu…
Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations
Michael Ruzhansky, Jens Wirth
These notes provide an introduction to and a survey on recent results about the long-time behaviour of solutions to hyperbolic partial differential equations with time-dependent co…