We study the wellposedness and pathwise regularity of semilinear non-autonomous parabolic evolution equations with boundary and interior noise in an L p setting. We obtain existence and uniqueness of mild and weak solutions. The boundary noise term is reformulated as a perturbation of a stochastic evolution equation with values in extrapolation spaces.
CITATION STYLE
Schnaubelt, R., & Veraar, M. (2011). Stochastic equations with boundary noise. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 609–629). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_30
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