Exact spatio-temporal moduli of continuity, small-ball estimates, and iterated logarithm laws are established for nonlinear parabolic SPDEs and extended to the open KPZ equation on the unit interval.
Meerschaert, Wensheng Wang, and Yimin Xiao, Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields , Trans
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On the spatio-temporal increments of nonlinear parabolic SPDEs and the open KPZ equation
Exact spatio-temporal moduli of continuity, small-ball estimates, and iterated logarithm laws are established for nonlinear parabolic SPDEs and extended to the open KPZ equation on the unit interval.