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Hyperbolic Anderson Model 2: Strichartz Estimates and Stratonovich Setting.
- Source :
-
IMRN: International Mathematics Research Notices . Nov2023, Vol. 2023 Issue 21, p18575-18628. 54p. - Publication Year :
- 2023
-
Abstract
- We study a wave equation in dimension |$d\in \{1,2\}$| with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under some conditions imposed on the Gaussian noise. The strategy is to develop some Strichartz-type estimates for the wave kernel in weighted Besov spaces, by which we can prove the well-posedness of an associated Young-type equation. Those Strichartz bounds are of independent interest. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ANDERSON model
*BESOV spaces
*WAVE equation
*SPACETIME
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2023
- Issue :
- 21
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 173587614
- Full Text :
- https://doi.org/10.1093/imrn/rnad039