We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no H¨older-continuity assumptions are required. This framework turns out to be effective to achieve novel uniqueness results for several specific examples. Such wide range of applications is obtained by exploiting either coloured or rougher-than-cylindrical noises.
WEAK UNIQUENESS BY NOISE FOR SINGULAR STOCHASTIC PDES
Scarpa L.
2025-01-01
Abstract
We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no H¨older-continuity assumptions are required. This framework turns out to be effective to achieve novel uniqueness results for several specific examples. Such wide range of applications is obtained by exploiting either coloured or rougher-than-cylindrical noises.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
TAMS2025.pdf
Accesso riservato
:
Publisher’s version
Dimensione
545.11 kB
Formato
Adobe PDF
|
545.11 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
