Local and global well-posedness of 2d periodic multiplicative stochastic NLS

Abstract

We use Strichartz estimates with rough potentials like the spatial white noise on the 2 \ dimensional torus to prove global well-posedness of the multiplicative stochastic NLS with general integer powers in both the energy and strong regime together with controls over the growth of the norms of the solutions.

41 pages. Major rewrite with fixed proofs and new results on global well-posedness. Changed title in light of this

Cited by in corpus (2)

• Strichartz inequalities with white noise potential on compact surfaces
• Finite speed of propagation for the 2- and 3-dimensional multiplicative stochastic wave equation