OOIR: Observatory of International Research

Papers

(The median citation count of Analysis & Pde is 2. 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
	24
Bosons in a double well: two-mode approximation and fluctuations	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
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
	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
Reconstruction for the Calderón problem with Lipschitz conductivities	8
Hessian estimates for special Lagrangian equation by doubling	8
	8
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
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
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
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Higher rank quantum-classical correspondence	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
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
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
	3
Robust nonlocal trace and extension theorems	3
The σk-Loewner–Nirenberg problem on Riemannian manifolds for k <	3
Focusing dynamics of 2D Bose gases in the instability regime	3
	3
	3
Explicit formula of radiation fields of free waves with applications on channel of energy	3
The weak null condition on Kerr backgrounds	3
Schauder estimates for equations with cone metrics, II	3
Riesz transform and vertical oscillation in the Heisenberg group	3
The Cauchy problem for the infinitesimal model in the regime of small variance	3
The Willmore flow of tori of revolution	3
Families of functionals representing Sobolev norms	3
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	3
Sharp reachability results for the heat equation in one space dimension	3
Equivariant property Gamma and the tracial local-to-global principle for C∗-dynamics	3
Gaussian analytic functions of bounded mean oscillation	3
Nonuniform stability of damped contraction semigroups	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
A fast point charge interacting with the screened Vlasov–Poisson system	3
	3
A new approach to the Fourier extension problem for the paraboloid	3
Monge–Ampère gravitation as a Γ-limit of good rate functions	3
	3
Entropy solutions to the macroscopic incompressible porous media equation	3
Linear potentials and applications in conformal geometry	3
Nonsingular Bernoulli actions of arbitrary Krieger type	3
Connectivity conditions and boundary Poincaré inequalities	3
Stochastic homogenization for variational solutions of Hamilton–Jacobi equations	3
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	3
A semiclassical Birkhoff normal form for constant-rank magnetic fields	3
Ill-posedness for dispersive equations : degenerate dispersion and the Takeuchii–Mizohata condition	3
Regularized Brascamp–Lieb inequalities	3
Global stability of spacetimes with supersymmetric compactifications	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	2
Local and global solvability for advection-diffusion equation on an evolving surface with a boundary	2
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds	2
Microlocal partition of energy for fractional-type dispersive equations	2
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation	2
Ground state properties in the quasiclassical regime	2
	2
The prescribed curvature problem for entire hypersurfaces in Minkowski space	2
Time optimal observability for Grushin Schrödinger equation	2
Complex Hessian measures with respect to a background Hermitian form	2
Eigenvalue bounds for Schrödinger operators with random complex potentials	2
Strong cosmic censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry	2
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature	2
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	2
Strong ill-posedness in L∞ for the Riesz transform problem	2
A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type	2
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	2
Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms	2
Disentanglement, multilinear duality and factorisation for nonpositive operators	2
Epsilon-regularity for the Brakke flow with boundary	2
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	2
Defining the spectral position of a Neumann domain	2
A Marcinkiewicz multiplier theory for Schur multipliers	2
A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2	2
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	2
Nonexistence of the box dimension for dynamically invariant sets	2
	2
Optimal blowup stability for three-dimensional wave maps	2
Dimensions of Furstenberg sets and an extension of Bourgain’s projection theorem	2
Strichartz estimates for mixed homogeneous surfaces in three dimensions	2
The 3D strict separation property for the nonlocal Cahn–Hilliard equation with singular potential	2
On blowup for the supercritical quadratic wave equation	2
Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates	2
The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials	2
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2
Plateau flow or the heat flow for half-harmonic maps	2
	2