Sharp fractional Hardy--Maz'ya remainders on half-spaces: angular re... arXiv:2610.31595 Non-uniqueness for the forced one-dimensional Vlasov-Poisson equation arXiv:2610.31629 Quantitative constructive representation of the KdV flow in H^3 via ... arXiv:2610.31634

A spectral multiplier theorem for fractional Hardy operators arXiv:2610.31532 Boltzmann Equation and Hard Sphere Gas with Singular Initial Data: W... arXiv:2610.31570 A Sharp Gradient Harnack Estimate for the Lane--Emden System arXiv:2610.31584

Asymptotic observable symmetry for spacetime observability of waves ... arXiv:2610.31477 Homogenization of the Stokes equations with slender bodies arXiv:2610.31480 Liouville-type theorems and perturbation uniqueness for stationary i... arXiv:2610.31517

Boundary regularity of k-Hessian eigenfunctions arXiv:2610.31445 On exact solutions to three-dimensional Yukawa lattice model and BCC... arXiv:2610.31456 Uniform coarse ellipticity, A_2 weights, and boundary regularity arXiv:2610.31463

Concavity of the Ornstein--Uhlenbeck torsion function on centered el... arXiv:2610.31405 A hybrid finite-volume scheme with learned rational reconstructions ... arXiv:2610.31419 A special Hardy estimate in the axisymmetric swirl problem arXiv:2610.31435

A New Minimax Theorem for a Class of C^1-Functionals arXiv:2610.31262 Radial \Phi^4 models in supercritical regimes arXiv:2610.31267 Sharp stability for the Talenti inequality arXiv:2610.31369

Sharp quantitative stability of the Ashbaugh--Benguria inequality arXiv:2610.31223 Sparse power spectrum for passive scalars under Pierrehumbert flow arXiv:2610.31241 Chaos of Caputo derivative arXiv:2610.31255

Well-posedness of a stress-augmented Moore-Gibson-Thompson-type mode... arXiv:2610.31134 Grushin spherical harmonics in non-degenerate dimension one arXiv:2610.31137 Liouville Theorems and Sharp Homogeneity Defects for Weighted Potent... arXiv:2610.31167

A sharp isoperimetric bound for the ratio of the fifth and fourth ei... arXiv:2610.31088 Sharp CR Beckner-Onofri inequalities under high-order holomorphic mo... arXiv:2610.31092 Quantitative positivity properties of the temperature in multi-dimen... arXiv:2610.31124

Initial-boundary value problems for linear lattice differential equa... arXiv:2610.31057 A unified quantitative approach to Chiti and Kohler--Jobin inequalities arXiv:2610.31063 Potential estimates and improved Sobolev regularity for nonlocal ful... arXiv:2610.31082

Spatial Decay and Asymptotic Stability of Forced Waves at the Critic... arXiv:2610.30820 Global well-posedness and Newtonian limit of the compressible upper-... arXiv:2610.30943 Nonlocal Fisher--KPP propagation with heavy tails arXiv:2610.30986

Whole-space eventual log-concavity and level-set geometry for the mu... arXiv:2610.30702 Weyl chambers, asymptotic expansions, and blowup analysis of explici... arXiv:2610.30767 Hasegawa-Mima equation as limit of a magnetized pressureless Euler-B... arXiv:2610.30788

Supercritical magnetic ray transforms in hyperbolic space: the compl... arXiv:2610.30529 Scattering theory for bulk and surface waves in an impedance half-sp... arXiv:2610.30575 Non-Uniqueness of Weak Solutions to the Unforced Two-Dimensional Eul... arXiv:2610.30655

The Porous Medium Equation and Convexity arXiv:2610.30358 Source integrability and the frontier \alpha=\tfrac12 in time-fracti... arXiv:2610.30377 The Serrin exponent for Lane-Emden inequalities driven by sums of fr... arXiv:2610.30415

Global well-posedness for the modified dispersion-generalized Benjam... arXiv:2610.30275 Scattering of plane waves and a modified Pompeiu criterion arXiv:2610.30329 Finite time implosions of the multidimensional compressible Euler eq... arXiv:2610.30331

A well-posedness theory for the 2D inhomogeneous incompressible Eule... arXiv:2610.30096 Boundary-Driven Nonequilibrium for the Coulomb Landau Equation arXiv:2610.30111 On ABP Estimates for a Class of Fully Nonlinear Singular-Degenerate ... arXiv:2610.30112

Nonlinear Inviscid Damping of Couette Flow with Vorticity Perturbati... arXiv:2610.29975 On the strict approximation of currents and space-time trajectories arXiv:2610.29981 Long-time dynamics of viscous Gr\"obli triangles arXiv:2610.30038

A PDE-theory-guided neural operator and the long-time relaxation of ... arXiv:2610.29938 Saturating spaces for the squared-gradient nonlinearity on compact R... arXiv:2610.29952 Rigidity of the ball for Hartree-type energies and second shape deri... arXiv:2610.29958

Sharp Moser-Onofri inequality on the CR sphere under zero-moment con... arXiv:2610.29877 Saturation on compact manifolds via Stone-Weierstrass type theorem, ... arXiv:2610.29914 Normal form approach to unconditional well-posedness of the periodic... arXiv:2610.29935

Elliptic rearrangement for Poisson equations with mean-zero data arXiv:2610.29783 A Super-Convergent Quasi-Discontinuous Galerkin Method for Advection... arXiv:2610.29818 Time-asymptotic stability of generic Riemann solutions for viscous-d... arXiv:2610.29859