Martin Spitz

activity

20182022

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

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

collaborators

7 papers

math.AP2022

On the almost sure scattering for the energy-critical cubic wave equation with supercritical data

Martin Spitz

In this article we study the defocusing energy-critical nonlinear wave equation on $R^{4}$ with scaling supercritical data. We prove almost sure scattering for randomized in…

math.AP2021★ 2 cited

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

Martin Spitz

We study the cubic defocusing nonlinear Schrödinger equation on $R^{4}$ with supercritical initial data. For randomized initial data in $H^{s} (R^{4})$ , we prove almost…

math.AP2020

Randomized final-state problem for the Zakharov system in dimension three

Martin Spitz

We consider the final-state problem for the Zakharov system in the energy space in three space dimensions. For $(u_{+}, v_{+}) \in H^{1} \times L^{2}$ without any size restriction, symmetr…

math.AP2018

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…