10 citations · 34 across the 19 of their papers we have counts for
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Boundary Stabilization of Quasilinear Maxwell Equations
Michael Pokojovy, Roland Schnaubelt
We investigate an initial-boundary value problem for a quasilinear nonhomogeneous, anisotropic Maxwell system subject to an absorbing boundary condition of Silver & Müller type in…
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions
Roland Schnaubelt, Martin Spitz
In this article we provide a local wellposedness theory for quasilinear Maxwell equations with absorbing boundary conditions in for . The Maxwell equation…
Biharmonic wave maps into spheres
Sebastian Herr, Tobias Lamm, Roland Schnaubelt
A global weak solution of the biharmonic wave map equation in the energy space for spherical targets is constructed. The equation is reformulated as a conservation law and solved b…
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions
Roland Schnaubelt, Martin Spitz
We establish a comprehensive local wellposedness theory for the quasilinear Maxwell system with interfaces in the space of piecewise -functions for . The system is e…
Exponential Decay of Quasilinear Maxwell Equations with Interior Conductivity
Irena Lasiecka, Michael Pokojovy, Roland Schnaubelt
We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded smooth domain of with a strictly positive conductivity subject to the boundary co…