#regularity estimates
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3 papers match
math.AP2026
Estimates for the p-Green function near the pole
Stefano Borghini, Virginia Agostiniani
The paper derives refined asymptotic expansions and improved integrability and derivative estimates for p‑Green functions near their pole, both in Euclidean space and on Riemannian…
#p‑laplace equation#green function#asymptotic expansion#riemannian geometry
math.AP2026
Regularity estimates in transport equations via heat flow and quantitative differentiation
Elia Brué, Maria Colombo, Guido De Philippis +1
The paper establishes quantitative estimates for commutators in transport equations, showing how logarithmic Sobolev regularity propagates via heat flow and using quantitative diff…
#transport equations#regularity estimates#commutator analysis#heat flow
math.PR2026
McKean-Vlasov SDEs with Bounded Measurable Interaction
Xing Huang
The paper studies McKean‑Vlasov stochastic differential equations whose drift interaction is only bounded and measurable, deriving a variation‑norm regularity estimate for the asso…
#stochastic differential equations#mean-field interaction#regularity estimates#ergodicity