OOIR: Observatory of International Research

Papers

(The TQCC of Analysis & Pde is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)

Article	Citations
	43
Random Schrödinger operators with complex decaying potentials	27
Bosons in a double well: two-mode approximation and fluctuations	21
	20
Five-linear singular integral estimates of Brascamp–Lieb-type	19
	17
	17
	16
Singular perturbation of manifold-valued maps with anisotropic energy	15
	14
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	14
	12
A Szemerédi-type theorem for subsets of the unit cube	12
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	11
Talagrand’s influence inequality revisited	11
Commutator method for averaging lemmas	11
	10
Discrete velocity Boltzmann equations in the plane: stationary solutions	10
Structure of sets with nearly maximal Favard length	10
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	9
The rank-one theorem on RCD spaces	9
Blow-up of solutions of critical elliptic equations in three dimensions	9
Optimal Prandtl expansion around a concave boundary layer	9
The “good” Boussinesq equation : long-time asymptotics	9
Holomorphic factorization of mappings into Sp4(ℂ)	9

	9
Quantitative estimates in stochastic homogenization for correlated coefficient fields	9
	8
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	8
Reconstruction for the Calderón problem with Lipschitz conductivities	8
	8
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	8
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	8
Higher rank quantum-classical correspondence	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
	7
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	7
Fractal uncertainty for discrete two-dimensional Cantor sets	7
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	7
On an electromagnetic problem in a corner and its applications	7
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	7
	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
Couniversality and controlled maps on product systems over right LCM semigroups	6
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	6
Classification of convex ancient free-boundary curve-shortening flows in the disc	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
IDA and Hankel operators on Fock spaces	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
	6
Large sets containing no copies of a given infinite sequence	6
Perturbed interpolation formulae and applications	5
A simple nuclear C∗-algebra with an internal asymmetry	5
Resonances for Schrödinger operators on infinite cylinders and other products	5
Degenerating hyperbolic surfaces and spectral gaps for large genus	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Strong ill-posedness for SQG in critical Sobolev spaces	5
Hardy spaces on Riemannian manifolds with quadratic curvature decay	5
Local lens rigidity for manifolds of Anosov type	5
A characterization of the Razak–Jacelon algebra	5
Arnold’s variational principle and its application to the stability of planar vortices	5
Stability of traveling waves for the Burgers–Hilbert equation	5
Families of functionals representing Sobolev norms	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
	4
Reconstruction and stability in Gelfand’s inverse interior spectral problem	4
Beurling–Carleson sets, inner functions and a semilinear equation	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
	4
The strong topology of ω-plurisubharmonic functions	4

Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	4
The Willmore flow of tori of revolution	4
Quantitative stability of Gel’fand’s inverse boundary problem	4
A new approach to the Fourier extension problem for the paraboloid	4
Wandering domains arising from Lavaurs maps with siegel disks	4
Diffusion in small time in incomplete sub-Riemannian manifolds	4