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 2021-02-01 to 2025-02-01.)

Article	Citations
Strichartz estimates for mixed homogeneous surfaces in three dimensions	26
Boundary layer of the Boltzmann equation in 2-dimensional convex domains	25
	21
Translating solutions to the Gauss curvature flow with flat sides	19
Directional square functions	19
Classical and microlocal analysis of the x-ray transform on Anosov manifolds	16
Nonsingular Bernoulli actions of arbitrary Krieger type	13
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	13
	13
Bosons in a double well: two-mode approximation and fluctuations	13
Existence of resonances for Schrödinger operators on hyperbolic space	12
Nonnegative Ricci curvature and minimal graphs with linear growth	11
	11
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	11
On blowup for the supercritical quadratic wave equation	10
A Cheeger–Müller theorem for manifolds with wedge singularities	10
Haagerup’s phase transition at polydisc slicing	10
	10
Nonuniform stability of damped contraction semigroups	9
On the global bifurcation diagram of the Gelfand problem	8
Convergence over fractals for the periodic Schrödinger equation	8
Second Ricci flow on noncompact Hermitian manifolds	7
Monomial convergence on ℓr	7
Some refinements of the partial C0 estimate	7
Relative heat content asymptotics for sub-Riemannian manifolds	7

Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space	7
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	7
Marstrand–Mattila rectifiability criterion for 1-codimensional measures in Carnot groups	7
Besov-ish spaces through atomic decomposition	7
Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions	7
Connectivity conditions and boundary Poincaré inequalities	6
Subelliptic wave equations are never observable	6
The Peskin problem with viscosity contrast	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
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
IDA and Hankel operators on Fock spaces	6
Five-linear singular integral estimates of Brascamp–Lieb-type	6
Banach space actions and L2-spectral gap	6
Global well-posedness for a system of quasilinear wave equations on a product space	6
Volume comparison with respect to scalar curvature	6
Equivariant property (SI) revisited	6
Liouville-type theorems for minimal graphs over manifolds	5
Singular stochastic integral operators	5
Dynamical torsion for contact Anosov flows	5
A Poincaré–Steklov map for the MIT bag model	5
C1,α-regularity for variational problems in the Heisenberg group	5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	5
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	5
	5
The deformed Hermitian Yang–Mills equation on three-folds	5
Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities	5
The weak null condition on Kerr backgrounds	5
Noncommutative Furstenberg boundary	5
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	4
Generic KAM Hamiltonians are not quantum ergodic	4
The Green function with pole at infinity applied to the study of the elliptic measure	4
A simple nuclear C∗-algebra with an internal asymmetry	4
Exponential integrability in Gauss space	4
Uniform Skoda integrability and Calabi–Yau degeneration	4
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	4
Classification of convex ancient free-boundary curve-shortening flows in the disc	4
	4
Garland’s method with Banach coefficients	4
	4
A characterization of the Razak–Jacelon algebra	3
Sharp pointwise and uniform estimates for ∂	3
	3
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	3
	3
Perturbed interpolation formulae and applications	3
	3
	3
	3
A controlled tangential Julia–Carathéodory theory via averaged Julia quotients	3

Partial regularity for Navier–Stokes and liquid crystals inequalities without maximum principle	3
Variations of a class of Monge–Ampère-type functionals and their applications	3
On L∞ estimates for Monge–Ampère and Hessian equations on nef classes	3
Multichannel scattering theory for Toeplitz operators with piecewise continuous symbols	3
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	3
Nonexistence of the box dimension for dynamically invariant sets	3
Wave maps on (1+2)-dimensional curved spacetimes	3
Couniversality and controlled maps on product systems over right LCM semigroups	3
Explicit formula of radiation fields of free waves with applications on channel of energy	3
Revisiting the C1,αh-principle for the Monge–Ampère equation	3
Singular perturbation of manifold-valued maps with anisotropic energy	3
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	3