10 citations · 34 across the 19 of their papers we have counts for
4 papers · 2 filters
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…
On growth and instability for semilinear evolution equations: an abstract approach
Vladimir Müller, Roland Schnaubelt, Yuri Tomilov
We propose a new approach to the study of (nonlinear) growth and instability for semilinear evolution equations with compact nonlinearities. We show, in particular, that compact no…
Wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary condition
Sebastian Ohrem, Wolfgang Reichel, Roland Schnaubelt
We consider the linear wave equation on with initial conditions and a nonlinear Neumann boundary condition $u_…
Rigorous Envelope Approximation for Interface Wave-Packets in Maxwell's Equations with 2D Localization
Tomáš Dohnal, Roland Schnaubelt, Daniel P. Tietz
We study transverse magnetic (vector valued) wave-packets in the time dependent Kerr nonlinear Maxwell's equations at the interface of two inhomogeneous dielectrics with an instant…