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 2021-12-01 to 2025-12-01.)

Article	Citations
	43
Random Schrödinger operators with complex decaying potentials	21
Bosons in a double well: two-mode approximation and fluctuations	20
	20
	17
Five-linear singular integral estimates of Brascamp–Lieb-type	17
	17
	16
Singular perturbation of manifold-valued maps with anisotropic energy	14
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	14
	13
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
	11
Commutator method for averaging lemmas	11
Holomorphic factorization of mappings into Sp4(ℂ)	10
	10
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
Optimal Prandtl expansion around a concave boundary layer	9
Quantitative estimates in stochastic homogenization for correlated coefficient fields	9
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	9
The rank-one theorem on RCD spaces	9
	9

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

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