Analysis and Applications

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 2021-07-01 to 2025-07-01.)
ArticleCitations
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type28
Solitary waves and excited states for Boson stars21
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator19
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 setting18
Decay property for symmetric hyperbolic system with memory-type relaxation11
Recent advances in asymptotic analysis10
Iterative kernel regression with preconditioning9
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise9
Convergence analysis of deep residual networks9
Global well-posedness for second grade fluids9
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values7
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary7
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior7
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization7
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system7
Optimal temporal decay rates for the compressible viscoelastic flows7
Sparse representation of approximation to identity6
Asymptotic expansion for convection-dominated transport in a thin graph-like junction6
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces6
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications6
Kernel support matrix machines with ramp loss5
On the regularity of multilinear Schrödinger integral operators5
Distributed robust regression with correntropy losses and regularization kernel networks5
Long-time asymptotics for the complex nonlinear transverse oscillation equation5
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle5
Approximations with deep neural networks in Sobolev time-space5
Gabor products and a phase space approach to nonlinear analysis4
The primes perform a Benford dance4
Constructing heat kernels on infinite graphs4
Regularized limit, analytic continuation and finite-part integration4
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data4
New Conditions on Robust and Stable Recovery of Non-strictly k-ranked Matrix via Schatten p-norm Minimization4
Large time asymptotic behavior for the dissipative Timoshenko system and its application4
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction4
Near-optimal tensor recovery guarantees for transformed total variation minimization4
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation4
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation4
Sampling complexity of deep approximation spaces3
Smoothed quantile regression with nonignorable dropouts3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn3
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property3
Author index Volume 20 (2022)3
Fourier–Bessel series of compactly supported convolutions on disks3
Author index Volume 22 (2024)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 Equations3
On the hemispherical transform in the half-space and related Radon transforms3
Variable-weighted multi-view collaborative fuzzy clustering with consideration of entropy and separability3
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity3
Uniqueness of phase retrieval with short-time linear canonical transform3
Double phase implicit obstacle problems with convection term and multivalued operator3
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation3
On m-order logarithmic Laplacians and the applications3
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability3
Quasi-Banach Schatten-Von Neumann properties in the Weyl-Hormander calculus3
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings3
Remarks on the normal hyperbolic mean curvature flow3
A Liouville theorem and radial symmetry for dual fractional parabolic equations3
Implicit regularization with strongly convex bias: Stability and acceleration2
Uniform asymptotics for the discrete Laguerre polynomials2
Iteratively consistent one-bit phase retrieval2
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations2
Local well-posedness of a viscoelastic fluid model for reactive polymers2
Approximation of BV functions by neural networks: A regularity theory approach2
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation2
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces2
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition2
Approximation, characterization, and continuity of multivariate monotonic regression functions2
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity2
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score2
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks2
Author index Volume 19 (2021)2
Improved expected L2-discrepancy formulas on jittered sampling2
Localization of energies in Navier–Stokes models with reaction terms2
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations2
Cahn–Hilliard equations on random walk spaces2
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion1
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model1
Nonlinear approximation spaces for inverse problems1
Dynamics of dipolar quantum droplets in an extended Gross–Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term1
On the Radon transform and the Dirac delta distribution in superspace1
Determination of source or initial values for acoustic equations with a time-fractional attenuation1
Neural network interpolation operators activated by smooth ramp functions1
A new binary representation method for shape convexity and application to image segmentation1
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems1
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region1
Optimal control of a reaction–diffusion model related to the spread of COVID-191
On a Sobolev-type inequality and its minimizers1
Robust learning of the modified Huber loss1
Mixed-norm Herz spaces and their applications in related Hardy spaces1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty1
Enhancing DCNN model performance: Experimental analysis based on data augmentation1
A natural local boundedness result for solutions of elliptic–parabolic equations1
Quasi-invariance under flows generated by non-linear PDEs1
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials1
Weighted analytic regularity for the integral fractional Laplacian in polyhedra1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN1
Gabor frame characterizations of generalized modulation spaces1
Horocyclic harmonic Bergman spaces on homogeneous trees1
An analysis of noise folding for low-rank matrix recovery1
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