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 2022-08-01 to 2026-08-01.)

Article	Citations
	54
Random Schrödinger operators with complex decaying potentials	28
Bosons in a double well: two-mode approximation and fluctuations	24
	24
Five-linear singular integral estimates of Brascamp–Lieb-type	21
	20
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	17
	17
	16
Singular perturbation of manifold-valued maps with anisotropic energy	15
	15
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	14
	13
Structure of sets with nearly maximal Favard length	13
Commutator method for averaging lemmas	13
Compactness results for sign-changing solutions of critical nonlinear elliptic equations of low energy	13
A bilinear fractional integral operator for Euler–Riesz systems	13
Discrete velocity Boltzmann equations in the plane: stationary solutions	12
Talagrand’s influence inequality revisited	12
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes	12
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	11
Mean curvature flow with multiplicity 2 convergence in ℝ3	11
	11
Optimal Prandtl expansion around a concave boundary layer	10
Blow-up of solutions of critical elliptic equations in three dimensions	10

Holomorphic factorization of mappings into Sp4(ℂ)	9
	9
The “good” Boussinesq equation : long-time asymptotics	9
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	9
The rank-one theorem on RCD spaces	9
	8
Reconstruction for the Calderón problem with Lipschitz conductivities	8
Hessian estimates for special Lagrangian equation by doubling	8
Margulis lemma on RCD(K,N) spaces	7
The existence of topological solutions to the Chern–Simons model on lattice graphs	7
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
Fractal uncertainty for discrete two-dimensional Cantor sets	7
ℓ2 decoupling theorem for surfaces in ℝ3	7
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	7
	7
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	7
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Higher rank quantum-classical correspondence	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Lower bounds on fibered Yang–Mills functionals : generic nefness and semistability of direct images	6
Entropy maximization in the two-dimensional Euler equations	6
	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
IDA and Hankel operators on Fock spaces	5
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	5
A simple nuclear C∗-algebra with an internal asymmetry	5
Microlocal analysis near null infinity in asymptotically flat spacetimes	5
	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Large sets containing no copies of a given infinite sequence	5
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
A characterization of the Razak–Jacelon algebra	5
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	4
Perturbed interpolation formulae and applications	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
Local lens rigidity for manifolds of Anosov type	4
The strong topology of ω-plurisubharmonic functions	4
	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
Normal traces and applications to continuity equations on bounded domains	4
Couniversality and controlled maps on product systems over right LCM semigroups	4
Strong ill-posedness for SQG in critical Sobolev spaces	4
Quantitative stability of Gel’fand’s inverse boundary problem	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
Wandering domains arising from Lavaurs maps with siegel disks	4
Resonances for Schrödinger operators on infinite cylinders and other products	4
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	4

Arnold’s variational principle and its application to the stability of planar vortices	4
Stability of traveling waves for the Burgers–Hilbert equation	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
	4
A sharp stability criterion for Euler equations via sparseness	4