115 citations · 1.9k across the 226 of their papers we have counts for
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Weighted Sobolev L2 estimates for a class of Fourier integral operators
Michael Ruzhansky, Mitsuru Sugimoto
In this paper we develop elements of the global calculus of Fourier integral operators in under minimal decay assumptions on phases and amplitudes. We also establish global w…
An open problem in complex analytic geometry arising in harmonic analysis
Michael Ruzhansky
In this paper, an open problem in the multidimensional complex analysis is pesented that arises in the investigation of the regularity properties of Fourier integral operators and…
Multidimensional decay in van der Corput lemma
Michael Ruzhansky
In this paper we present a multidimensional version of the van der Corput lemma where the decay of the oscillatory integral is gained with respect to all space variables, connectin…
Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients
Michael Ruzhansky, James Smith
Dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficients are considered. The global time decay est…
Asymptotic integration and dispersion for hyperbolic equations
Tokio Matsuyama, Michael Ruzhansky
The aim of this paper is to establish time decay properties and dispersive estimates for strictly hyperbolic equations with homogeneous symbols and with time-dependent coefficients…
Dispersion and asymptotic profiles for Kirchhoff equations
Tokio Matsuyama, Michael Ruzhansky
The aim of this article is to describe asymptotic profiles for the Kirchhoff equation, and to establish time decay properties and dispersive estimates for Kirchhoff equations. For…