Titre :

The logarithmic Schrödinger equation with spatial white noise on the full space

Auteur(s) :

Chauleur, Quentin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Systèmes de particules et systèmes dynamiques [Paradyse]
Mouzard, Antoine [Auteur]
Laboratoire de Physique de l'ENS Lyon [Phys-ENS]

Mot(s)-clé(s) en anglais :

Logarithmic Schrödinger equation
Multiplicative white noise
Global well-posedness

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noise on R d with d ≤ 2. Because of the nonlinearity, the regularity structures and the paracontrolled calculus can not be ...
Lire la suite >We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noise on R d with d ≤ 2. Because of the nonlinearity, the regularity structures and the paracontrolled calculus can not be used. To solve the equation, we rely on an exponential transform that has proven useful in the context of other singular SPDEs.Lire moins >

Langue :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL