Analysis and Applications

Article	Citations
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	30
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator	25
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	22
Recent advances in asymptotic analysis	19
Decay property for symmetric hyperbolic system with memory-type relaxation	12
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	11
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains	11
Convergence analysis of deep residual networks	11
Iterative kernel regression with preconditioning	10
Global well-posedness for second grade fluids	9
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	9
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	8
Optimal temporal decay rates for the compressible viscoelastic flows	7
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	7
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	7
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	7
Kernel support matrix machines with ramp loss	7
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	6
Analysis of DGD for decentralized high-dimensional statistical models: beyond the least squares	6
Sparse representation of approximation to identity	6
Distributed robust regression with correntropy losses and regularization kernel networks	6
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	6
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

On the regularity of multilinear Schrödinger integral operators	5
Multibump solutions for a class of critical fractional Choquard equation	5
Constructing heat kernels on infinite graphs	4
Approximations with deep neural networks in Sobolev time-space	4
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation	4
The primes perform a Benford dance	4
Large time asymptotic behavior for the dissipative Timoshenko system and its application	4
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	4
Regularized limit, analytic continuation and finite-part integration	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
Long-time asymptotics for the complex nonlinear transverse oscillation equation	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
New conditions on robust and stable recovery of non-strictly k-ranked matrices via Schatten p-norm minimization	4
Near-optimal tensor recovery guarantees for transformed total variation minimization	4
Author index Volume 20 (2022)	3
Fourier–Bessel series of compactly supported convolutions on disks	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–Hörmander calculus	3
A simplified Tikhonov regularization for solving a backward advection-dispersion problem	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
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	3
On m-order logarithmic Laplacians and the applications	3
Author index Volume 22 (2024)	3
A Liouville theorem and radial symmetry for dual fractional parabolic equations	3
Sampling complexity of deep approximation spaces	3
Remarks on the normal hyperbolic mean curvature flow	3
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	3
Dimension-independent learning rates for high-dimensional classification problems	3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Smoothed quantile regression with nonignorable dropouts	3
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	3
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations	2
Localization of energies in Navier–Stokes models with reaction terms	2
Local well-posedness of a viscoelastic fluid model for reactive polymers	2
Cahn–Hilliard equations on random walk spaces	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Iteratively consistent one-bit phase retrieval	2
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score	2
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity	2
On strong solutions to a simplified smectic-A liquid crystal flow	2
Approximation of BV functions by neural networks: A regularity theory approach	2
Author index Volume 19 (2021)	2
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	2
Orthogonal polynomials with periodic recurrence coefficients	2
Double phase implicit obstacle problems with convection term and multivalued operator	2

Approximation, characterization, and continuity of multivariate monotonic regression functions	2
Neural networks in non-metric spaces	2
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	2
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	2
A natural local boundedness result for solutions of elliptic–parabolic equations	1
Nonlinear approximation spaces for inverse problems	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
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
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
Gabor frame characterizations of generalized modulation spaces	1
Horocyclic harmonic Bergman spaces on homogeneous trees	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
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
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation	1
A new binary representation method for shape convexity and application to image segmentation	1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	1
An analysis of noise folding for low-rank matrix recovery	1
Multiple Standing Waves for Discrete Nonlinear Schrodinger Systems with General Nonlinearities	1
Robust learning of the modified Huber loss	1
Improved expected L2-discrepancy formulas on jittered sampling	1
Uniform asymptotics for the discrete Laguerre polynomials	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
On the Radon transform and the Dirac delta distribution in superspace	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	1
Ellipsoid-valued solutions of a static Landau–Lifschitz-type equation	1
Asymptotic expansion of the generalized hypergeometric function pFq(z) as z →∞ for p < q	0
Iteratively reweighted least squares for block sparse signal recovery with unconstrained l2,p minimization	0
On linear higher-order parabolic equations in Morrey spaces	0
Images of Gaussian and other stochastic processes under closed, densely-defined, unbounded linear operators	0
Asymptotic-preserving finite element analysis of Westervelt-type wave equations	0
Convolution operators in matrix weighted, variable Lebesgue spaces	0
Multiplicity of normalized solutions for a nonlinear Schrodinger equation with critical growth in ℝN	0
Zero inertia limit of incompressible Qian–Sheng model	0
Approximation by frame-like multiwavelets	0
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	0
Existence and multiplicity of solutions for Kirchhoff elliptic problems with nondegenerate points via nonlinear Rayleigh quotient in ℝN	0
Optimal decay of the 3D compressible Euler equations with general damping	0
On the global L∞→BMO mapping property for Fourier integral operators	0
A new development of the harmonic balance method: The hybrid harmonic balance method	0
Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series	0
Real interpolation for variable martingale Hardy–Lorentz–Karamata spaces	0
Existence and asymptotic analysis of a Vlasov–Fokker–Planck/Magnetohydrodynamic system	0
Weighted estimates for some Schrödinger-type operators on spaces of homogeneous type	0
Concentrating solutions of the fractional (p,q)-Choquard equation with exponential growth	0
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients	0
Block coordinate type methods for optimization and learning	0
Approximation analysis of CNNs from a feature extraction view	0
Global existence of a classical solution for the isentropic nozzle flow	0
Mixed-norm Herz spaces and their applications in related Hardy spaces	0
Extremal solutions for nonlocal dispersal equations	0
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	0
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	0
Bootstrap SGD: Algorithmic stability and robustness	0
Global weak solutions to a nonlinear chemotaxis system with singular density-suppressed motility	0
Relevant sampling in a reproducing kernel subspace of Orlicz space	0
A class of stochastic nonlocal evolution equations with nonlocal initial conditions	0
Successive affine learning for deep neural networks	0
Smoothing algorithms for nonsmooth optimization over the Stiefel manifold with applications to the graph Fourier basis problem	0
The Navier–Stokes equation in some general Banach spaces	0
Homogenization of supremal functionals in the vectorial case (via Lp-approximation)	0
On the spherical slice transform	0
A new regularity criterion for the 3D nematic liquid crystal flows	0
Learning with centered reproducing kernels	0
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation	0
Sample complexity bounds for the local convergence of least squares approximation	0
Renewable estimation for partly interval-censored data streams	0
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles	0
Deep operator network approximation rates for Lipschitz operators	0
Optimal prediction for kernel-based semi-functional linear regression	0
Author index Volume 21 (2023)	0
Learning variational models with unrolling and bilevel optimization	0
Multi-peak solutions to a biharmonic elliptic problem with non-power nonlinearity	0
Three matrix factorizations from the steps of elimination	0
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows	0
On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties	0
Stability and generalization of graph convolutional networks in eigen-domains	0

Convergence properties of ePIE and stochastic gradient methods for blind ptychography	0
Convergence rates of regularized Huber regression under weak moment conditions	0
A mixed peridynamical approach for beams	0
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal	0
BiGCN: A bi-directional low-pass filtering graph neural network	0
Interpolatory Taylor and Lidstone series	0
Tight wavelet frames on the space of M-positive vectors	0
Approximating functions with multi-features by deep convolutional neural networks	0
Instability of closed p-elastic curves in ????2	0
Uniform boundary estimates for Neumann problems in parabolic homogenization	0
Sparse regularization with the ℓ0 norm	0
Moduli of smoothness, K-functionals and Jackson-type inequalities associated with kernel function approximation in learning theory	0
Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations	0
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	0
Distributed SGD in overparametrized linear regression	0
Positive solutions for parametric equations with unbalanced growth and indefinite perturbation	0
Tractability of approximation by general shallow networks	0
Sufficient conditions for the asymptotic relaxation of Kuramoto ensemble in a potential field	0
Viscosity solutions to the inhomogeneous reaction–diffusion equation involving the infinity Laplacian	0
Quantifying overfitting in deep learning	0
Operator-valued positive definite kernels and differentiable universality	0
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions	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
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	0
Asymptotic behavior for nonlinear textiles with glued yarns	0
Wasserstein gradient flows for Moreau envelopes of f-divergences in reproducing kernel Hilbert spaces	0
A structural characterization of compactly supported OEP-based balanced dual multiframelets	0
A unified approach to the boundedness of a class of multilinear operators and their iterated commutators	0
Multilinear Littlewood–Paley operators and commutators on weighted Hardy spaces	0
Oscillations and differences in Besov–Morrey and Besov-type spaces	0
Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data	0
A two-weight boundedness criterion and its applications	0
Spline representation and redundancies of one-dimensional ReLU neural network models	0
Boundedness and compactness of commutators associated with Lipschitz functions	0
Regularity of very weak time-periodic Poiseuille-type solutions	0
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	0
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results	0
Homogenization of a nonlinear elliptic problem with imperfect rough interface	0
Dynamics of a spatially homogeneous Vicsek model for oriented particles on a plane	0
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	0
Classification of solutions to equations involving higher-order fractional Laplacian	0
Explicit representations for Banach subspaces of Lizorkin distributions	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
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category	0
Topological states and continuum model for swarmalators without force reciprocity	0
Sobolev–Morrey spaces via Muramatu’s integral formula	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
Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function Jν(x)	0
Compressed data separation via unconstrained l1-split analysis	0
Determination of source or initial values for acoustic equations with a time-fractional attenuation	0
Topological properties of basins of attraction of width bounded autoencoders	0
Error analysis of deep Ritz methods for elliptic equations	0
On the asymptotics of real solutions for the Painlevé I equation	0