OOIR: Observatory of International Research

Papers

(The median citation count of Analysis and Applications is 1. 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
Decay property for symmetric hyperbolic system with memory-type relaxation	46
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	36
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	30
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains	18
Iterative kernel regression with preconditioning	16
Convergence analysis of deep residual networks	16
Simultaneous network gradient descent for decentralized federated learning with missing data	14
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	14
Improved error bounds for weak Chebyshev greedy algorithms	13
Global well-posedness for second grade fluids	13
Semi-discrete sampling in Sobolev–Orlicz spaces	12
Multibump solutions for a class of critical fractional Choquard equation	12
Optimal temporal decay rates for the compressible viscoelastic flows	10
Kernel support matrix machines with ramp loss	9
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	9
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	9
Distributed robust regression with correntropy losses and regularization kernel networks	9
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	9
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	9
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	8
Analysis of DGD for decentralized high-dimensional statistical models: beyond the least squares	8
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	8
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces	8
Regularity of vector fields with piecewise regular curl and divergence	7
Near-optimal tensor recovery guarantees for transformed total variation minimization	7

Sobolev norm inconsistency of kernel interpolation	7
Large time asymptotic behavior for the dissipative Timoshenko system and its application	7
Regularized limit, analytic continuation and finite-part integration	7
Gabor products and a phase space approach to nonlinear analysis	7
Constructing heat kernels on infinite graphs	7
On approximation by neural networks in Lp spaces	6
New conditions on robust and stable recovery of non-strictly k-ranked matrices via Schatten p-norm minimization	6
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	6
The primes perform a Benford dance	6
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation	6
Endpoint estimates about certain oscillatory integral operators on torus	5
Isoperimetric Bounds for Weighted Steklov Eigenvalues with Radial Weights	5
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	5
Quasi-Banach Schatten–von Neumann properties in the Weyl–Hörmander calculus	5
Well-posedness of three-dimensional damped Cahn–Hilliard–Navier–Stokes equations	5
Dimension-independent learning rates for high-dimensional classification problems	5
Global existence and large time behaviors of strong solutions to a kinetic Cucker–Smale-type model coupled with the three-dimensional incompressible Navier–Stokes equations	5
On the hemispherical transform in the half-space and related Radon transforms	5
On m-order logarithmic Laplacians and the applications	5
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	5
Boundedness and compactness of Riesz transform commutators associated with Bessel operators on Lorentz spaces	4
Variable-weighted multi-view collaborative fuzzy clustering with consideration of entropy and separability	4
Sampling complexity of deep approximation spaces	4
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	4
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	4
A simplified Tikhonov regularization for solving a backward advection-dispersion problem	4
A Liouville theorem and radial symmetry for dual fractional parabolic equations	4
Existence and uniqueness of solution for a parabolic equation with p-bilaplacian operator using Rothe's method	4
Author index Volume 22 (2024)	4
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	4
Traveling wave solutions in a two-species competition model with density-suppressed motility	3
Multiplicity, regularity and concentration of normalized solutions to anisotropic (non)local elliptic problems	3
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations	3
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity	3
Remarks on the normal hyperbolic mean curvature flow	3
Uniqueness of phase retrieval with short-time linear canonical transform	3
Localization of energies in Navier–Stokes models with reaction terms	3
On the axisymmetric Boussinesq system with rough initial data	3
Orthogonal polynomials with periodic recurrence coefficients	3
Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator	3
Hamiltonian systems in the plane involving vanishing potentials and exponential growth	3
Double phase implicit obstacle problems with convection term and multivalued operator	3
Asymptotics of the finite-temperature Bessel kernel determinant	3
Author index Volume 23 (2025)	3
Fully online functional learning with streaming data	3
Local well-posedness of a viscoelastic fluid model for reactive polymers	3
Multiparameter regularization and aggregation in the context of polynomial functional regression	3
Author index Volume 20 (2022)	3
Approximation of BV functions by neural networks: A regularity theory approach	2
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	2

On the regularity of solutions of a 3D coupled parabolic–elliptic equations via partial components	2
On the study of (p,Q)-Laplace Choquard equations with critical Trudinger–Moser nonlinearity in ℍN	2
On the steady state solutions to a 2D Smoluchowski equation	2
Pointwise Error Bounds for Legendre Approximations of Singular Functions	2
Quasi-invariance under flows generated by non-linear PDEs	2
On strong solutions to a simplified smectic-A liquid crystal flow	2
Homogenization of a stokes problem with non-homogeneous fourier boundary conditions in a thin perforated domain	2
Neural networks in non-metric spaces	2
Nonlinear approximation spaces for inverse problems	2
Improved expected L2-discrepancy formulas on jittered sampling	2
Cahn–Hilliard equations on random walk spaces	2
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	2
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2
Stability of composite wave of planar viscous shock and rarefaction for 3D barotropic Navier–Stokes equations	2
Existence result for Maxwell’s equations in half-waveguides	2
Sample path regularity of Gaussian processes from the covariance kernel	2
Interpolatory dual framelets with a general dilation matrix	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Stability of viscous shock for the Navier–Stokes–Fourier system: outflow and impermeable wall problems	2
Iteratively consistent one-bit phase retrieval	2
Weighted analytic regularity for the integral fractional Laplacian in polyhedra	2
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score	2
Asymptotic behavior of solutions to the Cauchy problem for 1D p-system with nonlinear damping	2
Mixed-norm Herz spaces and their applications in related Hardy spaces	1
A mixed peridynamical approach for beams	1
Nonlocal elliptic equations with singular reaction	1
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows	1
Interpolatory Taylor and Lidstone series	1
On a Sobolev-type inequality and its minimizers	1
Multiple standing waves for discrete nonlinear Schrödinger systems with general nonlinearities	1
Hilbert space embeddings of independence tests of several variables with radial basis functions	1
Successive affine learning for deep neural networks	1
A natural local boundedness result for solutions of elliptic–parabolic equations	1
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
The norm of Hardy-Type oscillation operators in the discrete and continuous settings	1
Horocyclic harmonic Bergman spaces on homogeneous trees	1
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	1
Real interpolation for variable martingale Hardy–Lorentz–Karamata spaces	1
Ground state solutions for a critical quasilinear Choquard equation with periodic potential	1
The general Brannan coefficient conjecture I: Watson-lemma approximations	1
An analysis of noise folding for low-rank matrix recovery	1
Recovery of rational functions via Hankel pencil method and sensitivities of the poles	1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	1
Multiplicity of normalized solutions for a nonlinear Schrödinger equation with critical growth in ℝN	1
Gabor frame characterizations of generalized modulation spaces	1
Deep operator network approximation rates for Lipschitz operators	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation	1
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	1
Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data	1
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	1
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation	1
Global weak solutions of a macroscopic model of traffic flow under Chaplygin pressure	1
Determination of source or initial values for acoustic equations with a time-fractional attenuation	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
A unified approach to the boundedness of a class of multilinear operators and their iterated commutators	1
Minimization problems interpolating between the p-torsion problem and the principal frequency of the p-Laplacian	1
Tractability of approximation by general shallow networks	1
Ellipsoid-valued solutions of a static Landau–Lifschitz-type equation	1
Robust learning of the modified Huber loss	1
Nonexistence results for a nonlocal weighted quasilinear elliptic differential inequality with gradient absorption terms in bounded domain	1