A unified weighted Besov theory on homogeneous Lie groups with a multiscale characterization is developed and applied to prove well-posedness of parabolic Anderson models in the Young and first singular regimes.
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Weighted Besov Spaces on Homogeneous Lie Groups and Applications to Parabolic Anderson Models
A unified weighted Besov theory on homogeneous Lie groups with a multiscale characterization is developed and applied to prove well-posedness of parabolic Anderson models in the Young and first singular regimes.