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 2021-08-01 to 2025-08-01.)

Article	Citations
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	28
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator	22
Recent advances in asymptotic analysis	21
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	19
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	12
Decay property for symmetric hyperbolic system with memory-type relaxation	11
Global well-posedness for second grade fluids	10
Iterative kernel regression with preconditioning	10
Convergence analysis of deep residual networks	10
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	9
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	9
Distributed robust regression with correntropy losses and regularization kernel networks	7
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values	7
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	7
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	7
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	7
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	7
Sparse representation of approximation to identity	6
Optimal temporal decay rates for the compressible viscoelastic flows	6
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces	6
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	6
Kernel support matrix machines with ramp loss	5
Constructing heat kernels on infinite graphs	5
Analysis of DGD for Decentralized High-dimensional Statistical Models: Beyond the Least Squares	5
Large time asymptotic behavior for the dissipative Timoshenko system and its application	5

On the regularity of multilinear Schrödinger integral operators	5
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	5
Long-time asymptotics for the complex nonlinear transverse oscillation equation	5
Smoothed quantile regression with nonignorable dropouts	4
The primes perform a Benford dance	4
Regularized limit, analytic continuation and finite-part integration	4
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation	4
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	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
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	4
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	4
Near-optimal tensor recovery guarantees for transformed total variation minimization	4
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	4
Approximations with deep neural networks in Sobolev time-space	4
Gabor products and a phase space approach to nonlinear analysis	4
Author index Volume 22 (2024)	3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	3
Double phase implicit obstacle problems with convection term and multivalued operator	3
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	3
Uniqueness of phase retrieval with short-time linear canonical transform	3
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	3
New conditions on robust and stable recovery of non-strictly k-ranked matrices via Schatten p-norm minimization	3
On m-order logarithmic Laplacians and the applications	3
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation	3
Fourier–Bessel series of compactly supported convolutions on disks	3
Author index Volume 20 (2022)	3
Variable-weighted multi-view collaborative fuzzy clustering with consideration of entropy and separability	3
On the hemispherical transform in the half-space and related Radon transforms	3
Quasi-Banach Schatten-Von Neumann properties in the Weyl-Hormander calculus	3
A Liouville theorem and radial symmetry for dual fractional parabolic equations	3
Remarks on the normal hyperbolic mean curvature flow	3
Sampling complexity of deep approximation spaces	3
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	2
Author index Volume 19 (2021)	2
Cahn–Hilliard equations on random walk spaces	2
Approximation, characterization, and continuity of multivariate monotonic regression functions	2
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity	2
Approximation of BV functions by neural networks: A regularity theory approach	2
Iteratively consistent one-bit phase retrieval	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	2
Localization of energies in Navier–Stokes models with reaction terms	2
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations	2
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score	2
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	2
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	2
Improved expected L2-discrepancy formulas on jittered sampling	2
On strong solutions to a simplified smectic-A liquid crystal flow	2
Local well-posedness of a viscoelastic fluid model for reactive polymers	2

Orthogonal polynomials with periodic recurrence coefficients	2
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2
Determination of source or initial values for acoustic equations with a time-fractional attenuation	1
On a Sobolev-type inequality and its minimizers	1
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation	1
Horocyclic harmonic Bergman spaces on homogeneous trees	1
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation	1
Ellipsoid-valued solutions of a static Landau-Lifschitz-type equation	1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	1
Weighted analytic regularity for the integral fractional Laplacian in polyhedra	1
Robust learning of the modified Huber loss	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
Gabor frame characterizations of generalized modulation spaces	1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	1
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion	1
A natural local boundedness result for solutions of elliptic–parabolic equations	1
A new binary representation method for shape convexity and application to image segmentation	1
Nonlinear approximation spaces for inverse problems	1
An analysis of noise folding for low-rank matrix recovery	1
Uniform asymptotics for the discrete Laguerre polynomials	1
On the Radon transform and the Dirac delta distribution in superspace	1
Successive affine learning for deep neural networks	1
Mixed-norm Herz spaces and their applications in related Hardy spaces	1
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	1
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
Quasi-invariance under flows generated by non-linear PDEs	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	1