OOIR: Observatory of International Research

Papers

(The TQCC of Analysis & Pde is 3. 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 2022-01-01 to 2026-01-01.)

Article	Citations
	45
Random Schrödinger operators with complex decaying potentials	21
Bosons in a double well: two-mode approximation and fluctuations	20
	18
Five-linear singular integral estimates of Brascamp–Lieb-type	17
	16
	15
	14
Singular perturbation of manifold-valued maps with anisotropic energy	13
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	12
	11
A Szemerédi-type theorem for subsets of the unit cube	11
	11
Structure of sets with nearly maximal Favard length	10
Talagrand’s influence inequality revisited	10
Discrete velocity Boltzmann equations in the plane: stationary solutions	10
Commutator method for averaging lemmas	10
	10
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	10
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	9
Optimal Prandtl expansion around a concave boundary layer	9
	9
The “good” Boussinesq equation : long-time asymptotics	9
Holomorphic factorization of mappings into Sp4(ℂ)	9
Blow-up of solutions of critical elliptic equations in three dimensions	9

The rank-one theorem on RCD spaces	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
Margulis lemma on RCD(K,N) spaces	8
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	8
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
	7
Fractal uncertainty for discrete two-dimensional Cantor sets	7
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	7
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
Higher rank quantum-classical correspondence	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
Microlocal analysis near null infinity in asymptotically flat spacetimes	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
IDA and Hankel operators on Fock spaces	6
ℓ2 decoupling theorem for surfaces in ℝ3	6
	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
Couniversality and controlled maps on product systems over right LCM semigroups	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Large sets containing no copies of a given infinite sequence	5
A characterization of the Razak–Jacelon algebra	5
Strong ill-posedness for SQG in critical Sobolev spaces	5
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	5
The strong topology of ω-plurisubharmonic functions	4
A new approach to the Fourier extension problem for the paraboloid	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
A simple nuclear C∗-algebra with an internal asymmetry	4
Resonances for Schrödinger operators on infinite cylinders and other products	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
Quantitative stability of Gel’fand’s inverse boundary problem	4
	4
Arnold’s variational principle and its application to the stability of planar vortices	4
Perturbed interpolation formulae and applications	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
	4
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	4
Local lens rigidity for manifolds of Anosov type	4
Stability of traveling waves for the Burgers–Hilbert equation	4
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3

	3
Schauder estimates for equations with cone metrics, II	3
Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
A semiclassical Birkhoff normal form for constant-rank magnetic fields	3
Wandering domains arising from Lavaurs maps with siegel disks	3
Diffusion in small time in incomplete sub-Riemannian manifolds	3
The Cauchy problem for the infinitesimal model in the regime of small variance	3
A fast point charge interacting with the screened Vlasov–Poisson system	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
Global stability of spacetimes with supersymmetric compactifications	3
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	3
Families of functionals representing Sobolev norms	3
Riesz transform and vertical oscillation in the Heisenberg group	3
A substitute for Kazhdan’s property (T) for universal nonlattices	3
	3
Regularized Brascamp–Lieb inequalities	3
	3
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	3
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	3
The Willmore flow of tori of revolution	3
Monge–Ampère gravitation as a Γ-limit of good rate functions	3