most citedThe Wu relations in real algebraic geometry

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math.AP2026

Small-time local control of a Schrödinger equation: a negative and a positive quadratic result

Karine Beauchard, Frédéric Marbach, Thomas Perrin

We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case whe…

math.AP2026

Conditional appearance of decay for the non-cutoff Boltzmann equation in a bounded domain

Cyril Imbert, Amélie Loher

This work is concerned with the generation of decay estimates in the velocity variable for solutions of the space-inhomogeneous Boltzmann equation without cutoff on a bounded spati…

math.AP2026

On the {} norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk

Ambre Chabert, Yves Colin de Verdìère

Given a compact Riemannian surface , with Laplace-Beltrami operator , for , let be the spectral projector on the bandwidth $[λ-λ^{-\frac{…

math.AP2026

Sharp quantitative Talenti's inequality in particular cases

Paolo Acampora, Jimmy Lamboley

In this paper, we focus on the famous Talenti's symmetrization inequality, more precisely its corollary asserting that the -norm of the solution to is hi…

math.AP2026

The unique limit of the Glimm-Lax construction for Sobolev data and obstructions to 1-d convex integration

Jeffrey Cheng, Cooper Faile, Sam G. Krupa

We consider a genuinely nonlinear -d system of hyperbolic conservation laws with two unknowns. A famous construction of Glimm & Lax shows that global-in-time "Glimm-Lax" weak en…

math.AP2025★ 2 cited

Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions

Tobias König, Paul Laurain

For a smooth bounded domain and smooth functions and , we consider the asymptotic behavior of a sequence of positive solutions to $-Δu_ε+ (a…