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 2022-06-01 to 2026-06-01.)

Article	Citations
	53
Random Schrödinger operators with complex decaying potentials	26
	23
Bosons in a double well: two-mode approximation and fluctuations	23
Five-linear singular integral estimates of Brascamp–Lieb-type	18
	17
	16
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	15
Singular perturbation of manifold-valued maps with anisotropic energy	14
	14
A bilinear fractional integral operator for Euler–Riesz systems	13
	13
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	13
Commutator method for averaging lemmas	12
Talagrand’s influence inequality revisited	12
	12
Compactness results for sign-changing solutions of critical nonlinear elliptic equations of low energy	11
Structure of sets with nearly maximal Favard length	11
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes	11
Discrete velocity Boltzmann equations in the plane: stationary solutions	11
	10
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	10
The rank-one theorem on RCD spaces	10
Optimal Prandtl expansion around a concave boundary layer	10
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	9

Mean curvature flow with multiplicity 2 convergence in ℝ3	9
Holomorphic factorization of mappings into Sp4(ℂ)	9
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	9
The “good” Boussinesq equation : long-time asymptotics	9
	9
Blow-up of solutions of critical elliptic equations in three dimensions	9
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	8
Hessian estimates for special Lagrangian equation by doubling	8
	8
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	8
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	7
The existence of topological solutions to the Chern–Simons model on lattice graphs	7
	7
Margulis lemma on RCD(K,N) spaces	7
Reconstruction for the Calderón problem with Lipschitz conductivities	7
ℓ2 decoupling theorem for surfaces in ℝ3	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Higher rank quantum-classical correspondence	6
Lower bounds on fibered Yang–Mills functionals : generic nefness and semistability of direct images	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Fractal uncertainty for discrete two-dimensional Cantor sets	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	5
IDA and Hankel operators on Fock spaces	5
Large sets containing no copies of a given infinite sequence	5
A characterization of the Razak–Jacelon algebra	5
Existence of resonances for Schrödinger operators on hyperbolic space	5
Microlocal analysis near null infinity in asymptotically flat spacetimes	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
	5
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	5
Entropy maximization in the two-dimensional Euler equations	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Resonances for Schrödinger operators on infinite cylinders and other products	4
Arnold’s variational principle and its application to the stability of planar vortices	4
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
Quantitative stability of Gel’fand’s inverse boundary problem	4
	4
A simple nuclear C∗-algebra with an internal asymmetry	4
Perturbed interpolation formulae and applications	4
Strong ill-posedness for SQG in critical Sobolev spaces	4
Stability of traveling waves for the Burgers–Hilbert equation	4
The strong topology of ω-plurisubharmonic functions	4
	4
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	4
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	4

Couniversality and controlled maps on product systems over right LCM semigroups	4
Local lens rigidity for manifolds of Anosov type	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
A new approach to the Fourier extension problem for the paraboloid	4
Wandering domains arising from Lavaurs maps with siegel disks	4