Title :

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

Author(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]

English keyword(s) :

Logarithmic Schrödinger equation
Multiplicative white noise
Global well-posedness

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL