17 citations · 143 across the 39 of their papers we have counts for
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Oscillatory integral operators with homogeneous phase functions
Robert Schippa
Oscillatory integral operators with -homogeneous phase functions satisfying a convexity condition are considered. For these we show the -estimates for the Fourier ext…
Strichartz estimates for Maxwell equations in media: The partially anisotropic case
Robert Schippa
We prove Strichartz estimates for solutions to Maxwell equations in three dimensions with rough permittivities, which have less than three different eigenvalues. To this end, Maxwe…
Fourier transform of surface--carried measures of two-dimensional generic surfaces and applications
Jean-Claude Cuenin, Robert Schippa
We give a simple proof of the sharp decay of the Fourier-transform of surface-carried measures of two-dimensional generic surfaces. The estimates are applied to prove Strichartz an…
On quasilinear Maxwell equations in two dimensions
Robert Schippa, Roland Schnaubelt
New sharp Strichartz estimates for the Maxwell system in two dimensions with rough permittivity and non-trivial charges are proved. We use the FBI transform to carry out the analys…
Improved resolvent estimates for constant-coefficient elliptic operators in three dimensions
Robert Schippa
We prove new --estimates for solutions to elliptic differential operators with constant coefficients in . We use the estimates for the decay of the Fourier…
On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data
Robert Schippa
We show new local -smoothing estimates for the Schrödinger equation with initial data in modulation spaces via decoupling inequalities. Furthermore, we probe necessary conditi…