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 2021-03-01 to 2025-03-01.)

Article	Citations
Strichartz estimates for mixed homogeneous surfaces in three dimensions	25
Boundary layer of the Boltzmann equation in 2-dimensional convex domains	21
Directional square functions	19
	19
Translating solutions to the Gauss curvature flow with flat sides	16
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	13
	13
	13
Random Schrödinger operators with complex decaying potentials	13
IDA and Hankel operators on Fock spaces	12
Bosons in a double well: two-mode approximation and fluctuations	11
Nonsingular Bernoulli actions of arbitrary Krieger type	11
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	11
Existence of resonances for Schrödinger operators on hyperbolic space	10
The deformed Hermitian Yang–Mills equation on three-folds	10
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	10
C1,α-regularity for variational problems in the Heisenberg group	10
	9
Haagerup’s phase transition at polydisc slicing	8
Nonnegative Ricci curvature and minimal graphs with linear growth	8
Marstrand–Mattila rectifiability criterion for 1-codimensional measures in Carnot groups	7
Nonuniform stability of damped contraction semigroups	7
On blowup for the supercritical quadratic wave equation	7
Convergence over fractals for the periodic Schrödinger equation	7
A Cheeger–Müller theorem for manifolds with wedge singularities	7

On the global bifurcation diagram of the Gelfand problem	7
	7
Relative heat content asymptotics for sub-Riemannian manifolds	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
Volume comparison with respect to scalar curvature	6
Besov-ish spaces through atomic decomposition	6
Some refinements of the partial C0 estimate	6
The Peskin problem with viscosity contrast	6
Monomial convergence on ℓr	6
Second Ricci flow on noncompact Hermitian manifolds	6
Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions	6
Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space	6
Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities	5
Equivariant property (SI) revisited	5
Connectivity conditions and boundary Poincaré inequalities	5
Liouville-type theorems for minimal graphs over manifolds	5
Global well-posedness for a system of quasilinear wave equations on a product space	5
On complete embedded translating solitons of the mean curvature flow that are of finite genus	5
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	5
Five-linear singular integral estimates of Brascamp–Lieb-type	5
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	5
Subelliptic wave equations are never observable	5
The weak null condition on Kerr backgrounds	4
A Poincaré–Steklov map for the MIT bag model	4
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	4
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	4
Dynamical torsion for contact Anosov flows	4
Classification of convex ancient free-boundary curve-shortening flows in the disc	4
Noncommutative Furstenberg boundary	4
Singular stochastic integral operators	4
	4
Uniform Skoda integrability and Calabi–Yau degeneration	4
Garland’s method with Banach coefficients	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
On L∞ estimates for Monge–Ampère and Hessian equations on nef classes	3
	3
Wave maps on (1+2)-dimensional curved spacetimes	3
The Green function with pole at infinity applied to the study of the elliptic measure	3
	3
Couniversality and controlled maps on product systems over right LCM semigroups	3
	3
Sharp pointwise and uniform estimates for ∂	3
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton	3
	3
Generic KAM Hamiltonians are not quantum ergodic	3
Exponential integrability in Gauss space	3
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	3
Revisiting the C1,αh-principle for the Monge–Ampère equation	3

Explicit formula of radiation fields of free waves with applications on channel of energy	3
	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
A simple nuclear C∗-algebra with an internal asymmetry	3