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 2021-04-01 to 2025-04-01.)

Article	Citations
Strichartz estimates for mixed homogeneous surfaces in three dimensions	32
Boundary layer of the Boltzmann equation in 2-dimensional convex domains	21
	19
	16
Directional square functions	16
Random Schrödinger operators with complex decaying potentials	15
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	13
	13
Nonsingular Bernoulli actions of arbitrary Krieger type	12
The deformed Hermitian Yang–Mills equation on three-folds	11
Bosons in a double well: two-mode approximation and fluctuations	11
Existence of resonances for Schrödinger operators on hyperbolic space	11
	10
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	10
Nonnegative Ricci curvature and minimal graphs with linear growth	9
	8
Convergence over fractals for the periodic Schrödinger equation	8
A Cheeger–Müller theorem for manifolds with wedge singularities	8
On the global bifurcation diagram of the Gelfand problem	8
Haagerup’s phase transition at polydisc slicing	8
On blowup for the supercritical quadratic wave equation	8
Monomial convergence on ℓr	7
Second Ricci flow on noncompact Hermitian manifolds	7
Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space	7
Besov-ish spaces through atomic decomposition	7

Marstrand–Mattila rectifiability criterion for 1-codimensional measures in Carnot groups	7
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	7
Relative heat content asymptotics for sub-Riemannian manifolds	7
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
IDA and Hankel operators on Fock spaces	6
Equivariant property (SI) revisited	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions	6
Volume comparison with respect to scalar curvature	6
On complete embedded translating solitons of the mean curvature flow that are of finite genus	6
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	6
Some refinements of the partial C0 estimate	6
Five-linear singular integral estimates of Brascamp–Lieb-type	6
Connectivity conditions and boundary Poincaré inequalities	6
Subelliptic wave equations are never observable	5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	5
Liouville-type theorems for minimal graphs over manifolds	5
The Peskin problem with viscosity contrast	5
Nonuniform stability of damped contraction semigroups	5
Global well-posedness for a system of quasilinear wave equations on a product space	5
Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities	5
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	5
	4
The weak null condition on Kerr backgrounds	4
Classification of convex ancient free-boundary curve-shortening flows in the disc	4
Exponential integrability in Gauss space	4
Optimal blowup stability for three-dimensional wave maps	4
	4
	4
Noncommutative Furstenberg boundary	4
Singular stochastic integral operators	4
A Poincaré–Steklov map for the MIT bag model	4
Uniform Skoda integrability and Calabi–Yau degeneration	4
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton	3
Wave maps on (1+2)-dimensional curved spacetimes	3
A simple nuclear C∗-algebra with an internal asymmetry	3
	3
Couniversality and controlled maps on product systems over right LCM semigroups	3
	3
Explicit formula of radiation fields of free waves with applications on channel of energy	3
Perturbed interpolation formulae and applications	3
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	3
	3
Garland’s method with Banach coefficients	3
The Green function with pole at infinity applied to the study of the elliptic measure	3
	3
Revisiting the C1,αh-principle for the Monge–Ampère equation	3
On L∞ estimates for Monge–Ampère and Hessian equations on nef classes	3
Strong ill-posedness in L∞ for the Riesz transform problem	3
Variations of a class of Monge–Ampère-type functionals and their applications	3

A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	3
Generic KAM Hamiltonians are not quantum ergodic	3
	3
Partial regularity for Navier–Stokes and liquid crystals inequalities without maximum principle	3
A controlled tangential Julia–Carathéodory theory via averaged Julia quotients	3