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 2022-05-01 to 2026-05-01.)

Article	Citations
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	42
Decay property for symmetric hyperbolic system with memory-type relaxation	34
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	28
Recent advances in asymptotic analysis	16
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	16
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains	14
Iterative kernel regression with preconditioning	13
Convergence analysis of deep residual networks	12
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	11
Simultaneous network gradient descent for decentralized federated learning with missing data	11
Global well-posedness for second grade fluids	11
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	11
Analysis of DGD for decentralized high-dimensional statistical models: beyond the least squares	10
Multibump solutions for a class of critical fractional Choquard equation	9
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	9
Optimal temporal decay rates for the compressible viscoelastic flows	9
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	9
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	9
Long-time asymptotics for the complex nonlinear transverse oscillation equation	8
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	8
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces	8
Distributed robust regression with correntropy losses and regularization kernel networks	8
Kernel support matrix machines with ramp loss	8
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	7
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	7

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

Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2
Cahn–Hilliard equations on random walk spaces	2
Quasi-invariance under flows generated by non-linear PDEs	2
Existence result for Maxwell’s equations in half-waveguides	2
Interpolatory dual framelets with a general dilation matrix	2
Stability of viscous shock for the Navier–Stokes–Fourier system: outflow and impermeable wall problems	2
Sample path regularity of Gaussian processes from the covariance kernel	2
Neural networks in non-metric spaces	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
On the regularity of solutions of a 3D coupled parabolic–elliptic equations via partial components	2
On the steady state solutions to a 2D Smoluchowski equation	2
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	2
On strong solutions to a simplified smectic-A liquid crystal flow	2
Improved expected L2-discrepancy formulas on jittered sampling	2
The norm of Hardy-Type oscillation operators in the discrete and continuous settings	2
On the study of (p,Q)-Laplace Choquard equations with critical Trudinger–Moser nonlinearity in ℍN	2
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	1
An analysis of noise folding for low-rank matrix recovery	1
Hilbert space embeddings of independence tests of several variables with radial basis functions	1
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	1
Dynamics of dipolar quantum droplets in an extended Gross–Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term	1
Recovery of rational functions via Hankel pencil method and sensitivities of the poles	1
A natural local boundedness result for solutions of elliptic–parabolic equations	1
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
Robust learning of the modified Huber loss	1
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation	1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	1
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows	1
Tractability of approximation by general shallow networks	1
Multiplicity of normalized solutions for a nonlinear Schrödinger equation with critical growth in ℝN	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
Successive affine learning for deep neural networks	1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	1
Horocyclic harmonic Bergman spaces on homogeneous trees	1
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation	1
Stability of Composite Wave of Planar Viscous Shock and Rarefaction for 3D Barotropic Navier-Stokes Equations	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	1
Multiple standing waves for discrete nonlinear Schrödinger systems with general nonlinearities	1
Weighted estimates for some Schrödinger-type operators on spaces of homogeneous type	1
A mixed peridynamical approach for beams	1
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation	1
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	1
Minimization problems interpolating between the p-torsion problem and the principal frequency of the p-Laplacian	1
Deep operator network approximation rates for Lipschitz operators	1
Gabor frame characterizations of generalized modulation spaces	1
Mixed-norm Herz spaces and their applications in related Hardy spaces	1
Global weak solutions of a macroscopic model of traffic flow under Chaplygin pressure	1
Ellipsoid-valued solutions of a static Landau–Lifschitz-type equation	1
Nonlinear approximation spaces for inverse problems	1
On a Sobolev-type inequality and its minimizers	1
A unified approach to the boundedness of a class of multilinear operators and their iterated commutators	1
Convergence properties of ePIE and stochastic gradient methods for blind ptychography	1
Determination of source or initial values for acoustic equations with a time-fractional attenuation	1