17 citations · 143 across the 39 of their papers we have counts for
6 papers · 1 filter
Low regularity well-posedness of KP-I equations: the three-dimensional case
Sebastian Herr, Akansha Sanwal, Robert Schippa
In this paper, low regularity local well-posedness results for the Kadomtsev--Petviashvili--I equation posed in spatial dimension are proved. Periodic, non-periodic and mixe…
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…
Low regularity well-posedness for KP-I equations: the dispersion-generalized case
Akansha Sanwal, Robert Schippa
We prove new well-posedness results for dispersion-generalized Kadomtsev--Petviashvili I equations in , which family links the classical KP-I equation with the fifth…
Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces
Robert Schippa
We prove new well-posedness results for energy-critical nonlinear Schrödinger equations in modulation spaces. This covers initial data with infinite mass and energy. The proof is c…
Nonlinear wave equations with slowly decaying initial data
Jan Rozendaal, Robert Schippa
New local smoothing estimates in Besov spaces adapted to the half-wave group are proved via -decoupling. We apply these estimates to obtain new well-posedness results for t…
Strichartz estimates for equations with structured Lipschitz coefficients
Dorothee Frey, Robert Schippa
Sharp Strichartz estimates are proved for Schrödinger and wave equations with Lipschitz coefficients satisfying additional structural assumptions. We use Phillips functional calcul…