10 citations · 34 across the 19 of their papers we have counts for
23 papers
Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary
Richard Nutt, Roland Schnaubelt
We study the quasilinear Maxwell system with a strictly positive, state dependent boundary conductivity. For small data we show that the solution exists for all times and decays ex…
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…
Global Strichartz estimates for an inhomogeneous Maxwell system
Piero D'Ancona, Roland Schnaubelt
We show global-in-time Strichartz estimates for the isotropic Maxwell system with divergence free data. On the scalar permittivity and permeability we impose decay assumptions as $…