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Award ID contains: 1952966

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  1. ; ; ; (, International Mathematics Research Notices)
    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. 
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  2. ; ; ; (, Stochastic Processes and their Applications)
    Free, publicly-accessible full text available September 1, 2026
  3. ; ; (, Stochastic Processes and their Applications)
    Full Text Available 
  4. ; (, Stochastic Processes and their Applications)
    Full Text Available 
  5. ; ; (, Journal of theoretical probability)
    Accepted Manuscript Full Text Available