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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.PR 2years
2025 2representative citing papers
Fourier dimension of the graph of fBM with H ≥ 1/2 is a.s. 1, established via a new combinatorial integration by parts formula combined with Faà di Bruno's formula and strong local nondeterminism.
citing papers explorer
-
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.
-
Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$
Fourier dimension of the graph of fBM with H ≥ 1/2 is a.s. 1, established via a new combinatorial integration by parts formula combined with Faà di Bruno's formula and strong local nondeterminism.