The supremum of the solution to the given class of nonlinear SPDEs admits a density with respect to Lebesgue measure.
C., and Sanz-Solé, M.Stochastic Partial Differential Equations, Space-Time White Noise and Random Fields
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On the density of the supremum of nonlinear SPDEs
The supremum of the solution to the given class of nonlinear SPDEs admits a density with respect to Lebesgue measure.