3 citations · 3 across the 5 of their papers we have counts for
5 papers
The stochastic Zakharov system in dimension : Local well-posedness and regularization by noise for scattering
Martin Spitz, Deng Zhang, Zhenqi Zhao
In this paper, we develop the well-posedness theory and uncover the noise-regularization effect on scattering for the stochastic Zakharov system in dimensions and beyond…
Regularization by noise for the energy- and mass-critical nonlinear Schrödinger equations
Martin Spitz, Deng Zhang, Zhenqi Zhao
In this article we prove a regularization by noise phenomenon for the energy-critical and mass-critical nonlinear Schrödinger equations. We show that for any deterministic data, th…
The energy-critical stochastic Zakharov system
Sebastian Herr, Michael Röckner, Martin Spitz +1
This work is devoted to the stochastic Zakharov system in dimension four, which is the energy-critical dimension. First, we prove local well-posedness in the energy space $H^1\time…
Modified scattering for the three dimensional Maxwell-Dirac system
Sebastian Herr, Mihaela Ifrim, Martin Spitz
In this work we prove global well-posedness for the massive Maxwell-Dirac system in the Lorenz gauge in , for small, sufficiently smooth and decaying initial data…
The three dimensional stochastic Zakharov system
Sebastian Herr, Michael Röckner, Martin Spitz +1
We study the three dimensional stochastic Zakharov system in the energy space, where the Schrödinger equation is driven by linear multiplicative noise and the wave equation is driv…