The authors identify exact local and uniform spatio-temporal moduli of continuity for nonlinear parabolic SPDEs on bounded intervals and for the open KPZ equation, using new strong local non-determinism proofs under Robin boundary conditions.
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On the spatio-temporal increments of nonlinear parabolic SPDEs and the open KPZ equation
The authors identify exact local and uniform spatio-temporal moduli of continuity for nonlinear parabolic SPDEs on bounded intervals and for the open KPZ equation, using new strong local non-determinism proofs under Robin boundary conditions.