Pré-Publication, Document De Travail Année : 2022

Strichartz inequalities with white noise potential on compact surfaces

Résumé

We prove Strichatz inequalities for the Schrödinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonian H described using high order paracontrolled calculus. As an application, it gives a low regularity solution theory for the associated nonlinear equations.

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Dates et versions

hal-03198650 , version 1 (15-04-2021)
hal-03198650 , version 2 (26-04-2021)
hal-03198650 , version 3 (20-07-2022)

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Antoine Mouzard, Immanuel Zachhuber. Strichartz inequalities with white noise potential on compact surfaces. 2022. ⟨hal-03198650v3⟩
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