Analysis and Applications

Article	Citations
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator	39
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	30
Decay property for symmetric hyperbolic system with memory-type relaxation	28
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	14
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains	14
Recent advances in asymptotic analysis	12
Convergence analysis of deep residual networks	12
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	12
Iterative kernel regression with preconditioning	10
Global well-posedness for second grade fluids	10
Simultaneous network gradient descent for decentralized federated learning with missing data	9
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	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	8
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	8
Analysis of DGD for decentralized high-dimensional statistical models: beyond the least squares	8
Multibump solutions for a class of critical fractional Choquard equation	7
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	7
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	7
Optimal temporal decay rates for the compressible viscoelastic flows	7
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	7
Distributed robust regression with correntropy losses and regularization kernel networks	6
On the regularity of multilinear Schrödinger integral operators	6
Kernel support matrix machines with ramp loss	6
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces	6

Asymptotic expansion for convection-dominated transport in a thin graph-like junction	6
Long-time asymptotics for the complex nonlinear transverse oscillation equation	6
Large time asymptotic behavior for the dissipative Timoshenko system and its application	5
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	5
Constructing heat kernels on infinite graphs	5
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	5
Approximations with deep neural networks in Sobolev time-space	5
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation	4
On approximation by neural networks in Lp spaces	4
New conditions on robust and stable recovery of non-strictly k-ranked matrices via Schatten p-norm minimization	4
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	4
Regularity of vector fields with piecewise regular curl and divergence	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
Dimension-independent learning rates for high-dimensional classification problems	4
Regularized limit, analytic continuation and finite-part integration	4
Sobolev norm inconsistency of kernel interpolation	4
Near-optimal tensor recovery guarantees for transformed total variation minimization	4
The primes perform a Benford dance	4
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	4
Gabor products and a phase space approach to nonlinear analysis	4
Quasi-Banach Schatten–von Neumann properties in the Weyl–Hörmander calculus	3
On the hemispherical transform in the half-space and related Radon transforms	3
Variable-weighted multi-view collaborative fuzzy clustering with consideration of entropy and separability	3
Sampling complexity of deep approximation spaces	3
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	3
A simplified Tikhonov regularization for solving a backward advection-dispersion problem	3
Author index Volume 22 (2024)	3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Well-Posedness Of Three-Dimensional Damped Cahn-Hilliard-Navier-Stokes Equations	3
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	3
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	3
Author index Volume 20 (2022)	3
Smoothed quantile regression with nonignorable dropouts	3
Endpoint estimates about certain oscillatory integral operators on torus	3
On m-order logarithmic Laplacians and the applications	3
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	3
A Liouville theorem and radial symmetry for dual fractional parabolic equations	3
Uniqueness of phase retrieval with short-time linear canonical transform	3
Multiparameter regularization and aggregation in the context of polynomial functional regression	2
Orthogonal polynomials with periodic recurrence coefficients	2
On strong solutions to a simplified smectic-A liquid crystal flow	2
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity	2
Remarks on the normal hyperbolic mean curvature flow	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
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations	2
Approximation of BV functions by neural networks: A regularity theory approach	2
Hamiltonian systems in the plane involving vanishing potentials and exponential growth	2
Localization of energies in Navier–Stokes models with reaction terms	2
Author index Volume 23 (2025)	2

On the axisymmetric boussinesq system with rough initial data	2
Existence result for Maxwell’s equations in half-waveguides	2
Fourier–Bessel series of compactly supported convolutions on disks	2
Multiplicity, regularity and concentration of normalized solutions to anisotropic (non)local elliptic problems	2
Nonlinear approximation spaces for inverse problems	1
Implicit regularization with strongly convex bias: Stability and acceleration	1
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	1
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
The norm of Hardy-Type oscillation operators in the discrete and continuous settings	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
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
Weighted analytic regularity for the integral fractional Laplacian in polyhedra	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
Sample Path Regularity of Gaussian Processes from the Covariance Kernel	1
Cahn–Hilliard equations on random walk spaces	1
Improved expected L2-discrepancy formulas on jittered sampling	1
Neural networks in non-metric spaces	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
Gabor frame characterizations of generalized modulation spaces	1
Ellipsoid-valued solutions of a static Landau–Lifschitz-type equation	1
Global weak solutions of a macroscopic model of traffic flow under Chaplygin pressure	1
Quasi-invariance under flows generated by non-linear PDEs	1
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	1
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score	1
Iteratively consistent one-bit phase retrieval	1
On the study of (p,Q)-Laplace Choquard equations with critical Trudinger–Moser nonlinearity in ℍN	1
Interpolatory dual framelets with a general dilation matrix	1
On the Radon transform and the Dirac delta distribution in superspace	1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	1
A natural local boundedness result for solutions of elliptic–parabolic equations	1
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
Multiplicity of normalized solutions for a nonlinear Schrödinger equation with critical growth in ℝN	0
Approximating functions with multi-features by deep convolutional neural networks	0
Relevant sampling in a reproducing kernel subspace of Orlicz space	0
Three matrix factorizations from the steps of elimination	0
Deep operator network approximation rates for Lipschitz operators	0
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	0
Convergence rates of regularized Huber regression under weak moment conditions	0
Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series	0
Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data	0
Moduli of smoothness, K-functionals and Jackson-type inequalities associated with kernel function approximation in learning theory	0
Maximization and minimization of the principal eigenvalue of the Laplacian with indefinite weight under Dirichlet and Robin boundary conditions on classes of rearrangements	0
Stability and generalization of graph convolutional networks in eigen-domains	0
A viscoelastic model for skin via homogenization theory	0
Uniform boundary estimates for Neumann problems in parabolic homogenization	0
Homogenization of a nonlinear elliptic problem with imperfect rough interface	0
A mixed peridynamical approach for beams	0
Topological properties of basins of attraction of width bounded autoencoders	0
Sobolev–Morrey spaces via Muramatu’s integral formula	0
Global existence of a classical solution for the isentropic nozzle flow	0
Global well-posedness of the three-dimensional bipolar non-isentropic Euler–Poisson equations with heat conduction in bounded domains	0
Learning with centered reproducing kernels	0
Regularity of oscillatory integral operators	0
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles	0
The Navier–Stokes equation in some general Banach spaces	0
Asymptotic behavior for nonlinear textiles with glued yarns	0
Global weak solutions to a nonlinear chemotaxis system with singular density-suppressed motility	0
A structural characterization of compactly supported OEP-based balanced dual multiframelets	0
Horocyclic harmonic Bergman spaces on homogeneous trees	0
Monotonicity, Gibbons’ conjecture and Liouville theorem for the nonlocal Monge–Ampère problem with the Marchaud time derivative	0
Viscosity solutions to the inhomogeneous reaction–diffusion equation involving the infinity Laplacian	0
Approximation by frame-like multiwavelets	0
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	0
Regularity of very weak time-periodic Poiseuille-type solutions	0
Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn–Hilliard system with singular potentials and its Robin approximation	0
Tractability of approximation by general shallow networks	0
Real interpolation for variable martingale Hardy–Lorentz–Karamata spaces	0
A two-weight boundedness criterion and its applications	0
Asymptotic-preserving finite element analysis of Westervelt-type wave equations	0
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	0
Learning variational models with unrolling and bilevel optimization	0
Images of Gaussian and other stochastic processes under closed, densely-defined, unbounded linear operators	0
Renewable estimation for partly interval-censored data streams	0
Block coordinate type methods for optimization and learning	0
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	0
Oscillations and differences in Besov–Morrey and Besov-type spaces	0
Optimal decay of the 3D compressible Euler equations with general damping	0

Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation	0
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	0
Extremal solutions for nonlocal dispersal equations	0
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	0
Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function Jν(x)	0
Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations	0
Quasilinear problems with superlinear or asymptotically linear nonlinearities	0
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows	0
Normalized solutions for p -Laplacian equations with critical Sobolev exponent and mixed nonlinearities	0
Concentrating solutions of the fractional (p,q)-Choquard equation with exponential growth	0
Normalized solutions for critical Schrodinger-Bopp-Podolsky systems with p -Laplacian and competing potentials	0
Nonlocal elliptic equations with singular reaction	0
Smoothing algorithms for nonsmooth optimization over the Stiefel manifold with applications to the graph Fourier basis problem	0
The anisotropic Cahn–Hilliard equation with degenerate mobility: Existence of weak solutions	0
Explicit representations for Banach subspaces of Lizorkin distributions	0
Operator-valued positive definite kernels and differentiable universality	0
Bootstrap SGD: Algorithmic stability and robustness	0
Spline representation and redundancies of one-dimensional ReLU neural network models	0
Error analysis of deep Ritz methods for elliptic equations	0
Well-posedness of strong solutions to the 3D generalized Navier-Stokes equations with nonlinear damping term	0
A unified approach to variable selection for the non-mixture transformation cure model with interval-censored data and application to Alzheimer’s disease	0
Sample complexity bounds for the local convergence of least squares approximation	0
(λ,μ)-Wigner distribution via quadratic-phase Fourier transform: Uncertainty principle, application, and properties	0
A class of stochastic nonlocal evolution equations with nonlocal initial conditions	0
On a Sobolev-type inequality and its minimizers	0
Multi-peak solutions to a biharmonic elliptic problem with non-power nonlinearity	0
Iteratively reweighted least squares for block sparse signal recovery with unconstrained l2,p minimization	0
Quantifying overfitting in deep learning	0
An analysis of noise folding for low-rank matrix recovery	0
Existence and multiplicity of solutions for Kirchhoff elliptic problems with nondegenerate points via nonlinear Rayleigh quotient in ℝN	0
Author index Volume 21 (2023)	0
Determination of source or initial values for acoustic equations with a time-fractional attenuation	0
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	0
Existence and asymptotic analysis of a Vlasov–Fokker–Planck/Magnetohydrodynamic system	0
Optimal prediction for kernel-based semi-functional linear regression	0
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	0
Recovery of rational functions via Hankel pencil method and sensitivities of the poles	0
Topological states and continuum model for swarmalators without force reciprocity	0
A new regularity criterion for the 3D nematic liquid crystal flows	0
Successive affine learning for deep neural networks	0
Notes on regularity of Fourier integral operators with symbol in S0,δm	0
On the probability estimates of quadrature rules from uniformly sampled points on spheres	0
Existence and regularity results for a class of non-uniformly elliptic Robin problems	0
Interpolatory Taylor and Lidstone series	0
Approximation analysis of CNNs from a feature extraction view	0
Instability of closed p-elastic curves in ????2	0
Stability of the non-resistive magnetic Rayleigh–Bénard problem with large initial perturbations	0
Stability threshold of Couette flow for the 2D magnetohydrodynamic equations	0
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case	0
BiGCN: A bi-directional low-pass filtering graph neural network	0
Weighted estimates for some Schrödinger-type operators on spaces of homogeneous type	0
Distributed SGD in overparametrized linear regression	0
On the asymptotics of real solutions for the Painlevé I equation	0
Classification of solutions to equations involving higher-order fractional Laplacian	0
Sufficient conditions for the asymptotic relaxation of Kuramoto ensemble in a potential field	0
Compressed data separation via unconstrained l1-split analysis	0
Sparse regularization with the ℓ0 norm	0
Asymptotic expansion of the generalized hypergeometric function pFq(z) as z →∞ for p < q	0
Positive solutions for parametric equations with unbalanced growth and indefinite perturbation	0
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category	0
Dynamics of a spatially homogeneous Vicsek model for oriented particles on a plane	0
Non-asymptotic estimates for accelerated high order Langevin Monte Carlo algorithms	0
Hilbert space embeddings of independence tests of several variables with radial basis functions	0
Operator sequence-based phase retrieval on quaternionic left Hilbert spaces	0
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions	0
On linear higher-order parabolic equations in Morrey spaces	0
Multiple standing waves for discrete nonlinear Schrödinger systems with general nonlinearities	0
A new development of the harmonic balance method: The hybrid harmonic balance method	0
Convolution operators in matrix weighted, variable Lebesgue spaces	0
Mixed-norm Herz spaces and their applications in related Hardy spaces	0
On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties	0
Multilinear Littlewood–Paley operators and commutators on weighted Hardy spaces	0
Homogenization of supremal functionals in the vectorial case (via Lp-approximation)	0
A unified approach to the boundedness of a class of multilinear operators and their iterated commutators	0
Convergence properties of ePIE and stochastic gradient methods for blind ptychography	0
Tight wavelet frames on the space of M-positive vectors	0
Wasserstein gradient flows for Moreau envelopes of f-divergences in reproducing kernel Hilbert spaces	0