115 citations · 1.9k across the 226 of their papers we have counts for
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math.AP2010★ 7 cited
A necessary and sufficient condition on scattering for the regularly hyperbolic systems
Tokio Matsuyama, Michael Ruzhansky
The present paper is devoted to finding a necessary and sufficient condition on the occurence of scattering for the regularly hyperbolic systems with time-dependent coefficients wh…
math.AP2010
Dispersive type estimates for Fourier integrals and applications to hyperbolic systems
Michael Ruzhansky, Jens Wirth
In this note we provide dispersive estimates for Fourier integrals with parameter-dependent phase functions in terms of geometric quantities of associated families of Fresnel surfa…
math.AP2010★ 19 cited
Dispersive estimates for hyperbolic systems with time-dependent coefficients
Michael Ruzhansky, Jens Wirth
This paper is devoted to the study of time-dependent hyperbolic systems and the derivation of dispersive estimates for their solutions. It is based on a diagonalisation of the full…