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 2020-11-01 to 2024-11-01.)

Article	Citations
On the regularity of minimizers for scalar integral functionals with (p,q)-growth	34
New formulas for the Laplacian of distance functions and applications	26
The stability of the Minkowski space for the Einstein–Vlasov system	25
The Schauder estimate for kinetic integral equations	25
On an electromagnetic problem in a corner and its applications	21
Nuclear dimension of simple stably projectionless C∗-algebras	19
The “good” Boussinesq equation : long-time asymptotics	19
Variations of a class of Monge–Ampère-type functionals and their applications	19
Quantitative estimates in stochastic homogenization for correlated coefficient fields	16
Existence and stability of unidirectional flocks in hydrodynamic Euler alignment systems	13
C1,α-regularity for variational problems in the Heisenberg group	13
Existence and stability of infinite time bubble towers in the energy critical heat equation	13
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	13
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	12
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	11
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	11
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	11
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals	10
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller	10
Stable self-similar blow-up for a family of nonlocal transport equations	10
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	10
On the propagation of regularity for solutions of the dispersion generalized Benjamin–Ono equation	9
Equivariant property (SI) revisited	9
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	8
The deformed Hermitian Yang–Mills equation on three-folds	8

On the expected Betti numbers of the nodal set of random fields	7
Noncommutative Furstenberg boundary	7
Banach space actions and L2-spectral gap	7
Quantitative comparisons of multiscale geometric properties	7
On nonuniqueness of Hölder continuous globally dissipative Euler flows	7
Waves interacting with a partially immersed obstacle in the Boussinesq regime	7
The Landau–Pekar equations : adiabatic theorem and accuracy	7
On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications	7
Singular stochastic integral operators	7
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	6
Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations	6
Time optimal observability for Grushin Schrödinger equation	6
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	6
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	6
Local and global estimates for hyperbolic equations in Besov–Lipschitz and Triebel–Lizorkin spaces	6
Optimal regularity in time and space for the porous medium equation	6
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori	6
Classical and microlocal analysis of the x-ray transform on Anosov manifolds	6
De Branges canonical systems with finite logarithmic integral	6
A∞-weights and compactness of conformal metrics under Ln∕2 curvature bounds	6
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on ℝ at L2 regularity	6
Translating solutions to the Gauss curvature flow with flat sides	6
Scattering for defocusing energy subcritical nonlinear wave equations	5
Fourier decay of self-similar measures and self-similar sets of uniqueness	5
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows	5
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain	5
Liouville-type theorems for minimal graphs over manifolds	5
Wave equations with initial data on compact Cauchy horizons	5
Distinguished varieties through the Berger-Coburn-Lebow theorem	5
Stability and instability in scalar balance laws: fronts and periodic waves	5
Near-critical reflection of internal waves	5
IDA and Hankel operators on Fock spaces	5
Threshold dynamics for corotational wave maps	5
Convex sets evolving by volume-preserving fractional mean curvature flows	5
Sign-changing solutions for critical equations with Hardy potential	5
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation	5
Weighted integrability of polyharmonic functions in the higher-dimensional case	4
Geometric quantization of coupled Kähler–Einstein metrics	4
Nonuniform stability of damped contraction semigroups	4
Quasiperiodic solutions of NLS with Liouvillean frequencies	4
Strong semiclassical limits from Hartree and Hartree–Fock to Vlasov–Poisson equations	4
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	4
The Peskin problem with viscosity contrast	4
Singularities generated by the triple interaction of semilinear conormal waves	4
Potential well theory for the derivative nonlinear Schrödinger equation	4
Some refinements of the partial C0 estimate	4
Nonsingular Bernoulli actions of arbitrary Krieger type	4
Propagation properties of reaction-diffusion equations in periodic domains	3
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	3
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	3

Optimal asymptotic bounds for designs on manifolds	3
A gap theorem for α-harmonic maps between two-spheres	3
Global well-posedness and scattering for the defocusing Ḣ1∕2-critical nonlinear Schrödinger equation in ℝ2	3
Lifting in compact covering spaces for fractional Sobolev mappings	3
The strong topology of ω-plurisubharmonic functions	3
Gaussian analytic functions of bounded mean oscillation	3
L2-boundedness of gradients of single-layer potentials and uniform rectifiability	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
Brown–Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs	3
An asymptotic expansion of two-bubble wave maps in high equivariance classes	3
Families of functionals representing Sobolev norms	3
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	3
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	3
Turbulent cascades in a truncation of the cubic Szegő equation and related systems	3
A Szemerédi-type theorem for subsets of the unit cube	3
Disentanglement, multilinear duality and factorisation for nonpositive operators	3
Serrin’s overdetermined problem for fully nonlinear nonelliptic equations	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
Multilayer potentials for higher-order systems in rough domains	3
Global existence and scattering for quadratic NLS with potential in three dimensions	3