6 papers · 1 filter
Strichartz estimates for Maxwell equations in media: The fully anisotropic case
Robert Schippa, Roland Schnaubelt
We prove Strichartz estimates for Maxwell equations in media in the fully anisotropic case with Hölder-continuous coefficients. To this end, we use the FBI transform to conjugate t…
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…
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…
Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle
Robert Schippa
New local well-posedness results for dispersion generalized Benjamin-Ono equations on the torus are proved. The family of equations under consideration links the Benjamin-Ono and K…
On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
Robert Schippa
A family of dispersive equations is considered which links a higher dimensional Benjamin-Ono equation and the Zakharov-Kuznetsov equation. For these fractional Zakharov-Kuznetsov e…
On shorttime bilinear Strichartz estimates and applications to improve the energy method
Robert Schippa
A refinement of the energy method is introduced for dispersive PDE with derivative nonlinearity posed on tori. Key ingredient is a shorttime bilinear Strichartz estimate, which is…