Boundary renormalisation of SPDEs
نویسندگان
چکیده
We consider the continuum parabolic Anderson model (PAM) and dynamical Φ4 equation on 3-dimensional cube with boundary conditions. While Dirichlet solution theories are relatively standard, case of Neumann/Robin conditions gives rise to a divergent renormalisation. Furthermore for Φ34 ‘boundary triviality’ result is obtained: if one approximates Neumann usual bulk renormalisation, then limiting process coincides obtained using
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2022
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2022.2109173