Martin Spitz

activity

20182022

most citedAlmost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data

2 citations · 3 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.AP2018★ 1 cited

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 $H^{m}$ for $m \geq 3$ . The Maxwell equation…

math.AP2018

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 $H^{m}$ -functions for $m \geq 3$ . The system is e…

math.AP2018

Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions

Martin Spitz

In this article we develop the local wellposedness theory for quasilinear Maxwell equations in $H^{m}$ for all $m \geq 3$ on domains with perfectly conducting boundary conditions. Th…

math.AP2018

Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions

Martin Spitz

In this work we study linear Maxwell equations with time- and space-dependent matrix-valued permittivity and permeability on domains with a perfectly conducting boundary. This lead…