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 2021-06-01 to 2025-06-01.)

Article	Citations
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	27
Solitary waves and excited states for Boson stars	26
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator	20
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	19
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	19
Decay property for symmetric hyperbolic system with memory-type relaxation	18
Iterative kernel regression with preconditioning	9
Convergence analysis of deep residual networks	9
Recent advances in asymptotic analysis	9
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	8
Global well-posedness for second grade fluids	8
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	8
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values	7
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	7
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	7
Sparse representation of approximation to identity	7
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	7
Optimal temporal decay rates for the compressible viscoelastic flows	6
Distributed robust regression with correntropy losses and regularization kernel networks	6
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	6
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	5
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces	5
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	5
Kernel support matrix machines with ramp loss	5
Approximations with deep neural networks in Sobolev time-space	5

On the regularity of multilinear Schrödinger integral operators	5
Long-time asymptotics for the complex nonlinear transverse oscillation equation	5
Constructing heat kernels on infinite graphs	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
Large time asymptotic behavior for the dissipative Timoshenko system and its application	4
Near-optimal tensor recovery guarantees for transformed total variation minimization	4
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	4
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	4
Gabor products and a phase space approach to nonlinear analysis	4
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Smoothed quantile regression with nonignorable dropouts	3
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	3
Variable weighted multi-view collaborative fuzzy clustering with Consideration of Entropy and Separability	3
A Liouville theorem and radial symmetry for dual fractional parabolic equations	3
Remarks on the normal hyperbolic mean curvature flow	3
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	3
On the hemispherical transform in the half-space and related Radon transforms	3
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	3
Author index Volume 22 (2024)	3
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	3
Author index Volume 20 (2022)	3
Fourier–Bessel series of compactly supported convolutions on disks	3
On m-order logarithmic Laplacians and the applications	3
The primes perform a Benford dance	3
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation	3
Sampling complexity of deep approximation spaces	3
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	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
Author index Volume 19 (2021)	2
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	2
Double phase implicit obstacle problems with convection term and multivalued operator	2
Local well-posedness of a viscoelastic fluid model for reactive polymers	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
Nonlinear approximation spaces for inverse problems	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
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
Uniform asymptotics for the discrete Laguerre polynomials	2
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2
Localization of energies in Navier–Stokes models with reaction terms	2
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations	2
Cahn–Hilliard equations on random walk spaces	2
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	2
Gabor frame characterizations of generalized modulation spaces	1

Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	1
On a Sobolev-type inequality and its minimizers	1
Mixed-norm Herz spaces and their applications in related Hardy spaces	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
A natural local boundedness result for solutions of elliptic–parabolic equations	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
Weighted analytic regularity for the integral fractional Laplacian in polyhedra	1
Quasi-invariance under flows generated by non-linear PDEs	1
Neural network interpolation operators activated by smooth ramp functions	1
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	1
Horocyclic harmonic Bergman spaces on homogeneous trees	1
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion	1
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
An analysis of noise folding for low-rank matrix recovery	1
Improved expected L2-discrepancy formulas on jittered sampling	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	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
Determination of source or initial values for acoustic equations with a time-fractional attenuation	1
A new binary representation method for shape convexity and application to image segmentation	1
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation	1
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation	1
Robust learning of the modified Huber loss	1
On the Radon transform and the Dirac delta distribution in superspace	1