Hyperbolic Anderson Model 2: Strichartz Estimates and Stratonovich Setting
نویسندگان
چکیده
Abstract We study a wave equation in dimension $d\in \{1,2\}$ with multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under some conditions imposed on strategy to develop Strichartz-type estimates for kernel weighted Besov spaces, by which we can prove well-posedness an associated Young-type equation. Those Strichartz bounds are independent interest.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2023
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnad039