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 2021-09-01 to 2025-09-01.)

Article	Citations
	41
Random Schrödinger operators with complex decaying potentials	26
Bosons in a double well: two-mode approximation and fluctuations	20
	19
Five-linear singular integral estimates of Brascamp–Lieb-type	17
	16
	16
	16
Singular perturbation of manifold-valued maps with anisotropic energy	14
	14
A Szemerédi-type theorem for subsets of the unit cube	12
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	11
	10
Talagrand’s influence inequality revisited	10
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	10
A splitting lemma for coherent sheaves	10
Discrete velocity Boltzmann equations in the plane: stationary solutions	10
Commutator method for averaging lemmas	10
Structure of sets with nearly maximal Favard length	9
Holomorphic factorization of mappings into Sp4(ℂ)	9
	9
Quantitative estimates in stochastic homogenization for correlated coefficient fields	8
Optimal Prandtl expansion around a concave boundary layer	8
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	8
	7

The rank-one theorem on RCD spaces	7
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	7
Blow-up of solutions of critical elliptic equations in three dimensions	7
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	7
Reconstruction for the Calderón problem with Lipschitz conductivities	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
The “good” Boussinesq equation : long-time asymptotics	7
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	7
	7
On an electromagnetic problem in a corner and its applications	7
C1,1 regularity of degenerate complex Monge–Ampère equations and some applications	7
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
IDA and Hankel operators on Fock spaces	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	6
Fractal uncertainty for discrete two-dimensional Cantor sets	6
Higher rank quantum-classical correspondence	6
	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
Uniform Skoda integrability and Calabi–Yau degeneration	5
Large sets containing no copies of a given infinite sequence	5
Resonances for Schrödinger operators on infinite cylinders and other products	5
Couniversality and controlled maps on product systems over right LCM semigroups	5
A characterization of the Razak–Jacelon algebra	5
Arnold’s variational principle and its application to the stability of planar vortices	5
Strong ill-posedness for SQG in critical Sobolev spaces	5
Degenerating hyperbolic surfaces and spectral gaps for large genus	5
A simple nuclear C∗-algebra with an internal asymmetry	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	5
Hardy spaces on Riemannian manifolds with quadratic curvature decay	5
Stability of traveling waves for the Burgers–Hilbert equation	5
Perturbed interpolation formulae and applications	5
Quantitative stability of Gel’fand’s inverse boundary problem	4
	4
Wandering domains arising from Lavaurs maps with siegel disks	4
A new approach to the Fourier extension problem for the paraboloid	4
Multipliers and operator space structure of weak product spaces	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
The Willmore flow of tori of revolution	4

Local lens rigidity for manifolds of Anosov type	4
The strong topology of ω-plurisubharmonic functions	4
	4
Families of functionals representing Sobolev norms	4
	3
Regularized Brascamp–Lieb inequalities	3
Monge–Ampère gravitation as a Γ-limit of good rate functions	3
Global stability of spacetimes with supersymmetric compactifications	3
Optimal asymptotic bounds for designs on manifolds	3
	3
A semiclassical Birkhoff normal form for constant-rank magnetic fields	3
Diffusion in small time in incomplete sub-Riemannian manifolds	3
Nonuniform stability of damped contraction semigroups	3
	3
Nonsingular Bernoulli actions of arbitrary Krieger type	3
	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
A substitute for Kazhdan’s property (T) for universal nonlattices	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
A fast point charge interacting with the screened Vlasov–Poisson system	3
Wave equations with initial data on compact Cauchy horizons	3
Connectivity conditions and boundary Poincaré inequalities	3
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	3
The Cauchy problem for the infinitesimal model in the regime of small variance	3
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	3
Schauder estimates for equations with cone metrics, II	3
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	3
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
Riesz transform and vertical oscillation in the Heisenberg group	3
Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	3