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math.AP2026
Pathwise Global-in-Time Existence for the generalised KPZ Equation in the Full Subcritical Regime
Jonas Sauer, Rhys Steele
We provide a pathwise proof of global-in-time well-posedness for the generalised KPZ equation in the full subcritical regime by an adaptation of the strategy recently applied to th…
math.AP2025
Renormalised Models for Variable Coefficient Singular SPDEs
Lucas Broux, Harprit Singh, Rhys Steele
In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full sub…
math.AP2025
Multi-index Based Solution Theory to the Equation in the Full Subcritical Regime
Lucas Broux, Felix Otto, Rhys Steele
We obtain (small-parameter) well-posedness for the (space-time periodic) equation in the full subcritical regime in the context of regularity structures based on multi-indice…