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most citedConformal Prediction for Hierarchical Data

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math.AP2026

Gluing methods for quantitative stability of optimal transport maps

Cyril Letrouit, Quentin Mérigot

The paper proves that the optimal quadratic transport map from a fixed density to a varying measure depends bi‑Hölder continuously on the target measure, establishing quantitative…

math.AP2026

Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model

Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert

The dynamics of two-phase flows out of mechanical and thermal equilibrium are described by a partially dissipative first-order quasilinear system with stiff interaction terms assoc…

math.AP2026

On Hardy-Littlewood-Sobolev estimates for degenerate Laplacians

Pascal Auscher, Khalid Baadi

We establish norm inequalities for fractional powers of degenerate Laplacians, with degeneracy being determined by weights in the Muckenhoupt class , accompanied…

math.AP2026

Degenerate parabolic equations in divergence form: fundamental solution and Gaussian bounds

Khalid Baadi

In this paper, we consider second order degenerate parabolic equations with complex, measurable, and time-dependent coefficients. The degenerate ellipticity is dictated by a spatia…

math.AP2026★ 2 cited

Refined wave breaking for the generalized Fornberg-Whitham equation

Jean-Claude Saut, Yuexun Wang

This paper considers a class of non-local equations that are weakly dispersive perturbations of the inviscid Burgers equation, which includes the Fornberg-Whitham equation as a spe…

math.AP2026

An extended variational setting for critical SPDEs with Lévy noise

Sebastian Bechtel, Fabian Germ, Mark Veraar

The critical variational setting was recently introduced and shown to be applicable to many important SPDEs not covered by the classical variational setting. In this paper, we exte…