Analysis and Applications

Article	Citations
Smoothed quantile regression with nonignorable dropouts	26
Solitary waves and excited states for Boson stars	24
Global existence of a classical solution for the isentropic nozzle flow	19
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	19
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	19
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	12
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	10
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation	9
Explicit representations for Banach subspaces of Lizorkin distributions	9
Distributed SGD in overparametrized linear regression	8
Tractability of approximation by general shallow networks	8
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	8
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator	8
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	7
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score	7
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	7
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category	7
Decay property for symmetric hyperbolic system with memory-type relaxation	7
Approximation of BV functions by neural networks: A regularity theory approach	7
Sparse regularization with the ℓ0 norm	6
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	5
Approximating functions with multi-features by deep convolutional neural networks	5
Determination of source or initial values for acoustic equations with a time-fractional attenuation	5
Classification of solutions to equations involving higher-order fractional Laplacian	5
The primes perform a Benford dance	5

Recent advances in asymptotic analysis	5
Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function Jν(x)	4
Convergence properties of ePIE and stochastic gradient methods for blind ptychography	4
Relevant sampling in a reproducing kernel subspace of Orlicz space	4
Successive affine learning for deep neural networks	4
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	4
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	4
Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data	4
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	4
Interpolatory Taylor and Lidstone series	3
Invariance of the Fredholm index and spectrum of non-smooth pseudodifferential operators	3
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces	3
Cahn–Hilliard equations on random walk spaces	3
Iteratively consistent one-bit phase retrieval	3
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	3
Topological properties of basins of attraction of width bounded autoencoders	3
Extremal solutions for nonlocal dispersal equations	3
On the global L∞→BMO mapping property for Fourier integral operators	3
Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum	3
On the hemispherical transform in the half-space and related Radon transforms	3
Sufficient conditions for the asymptotic relaxation of Kuramoto ensemble in a potential field	3
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows	3
Instability of closed p-elastic curves in ????2	3
Real interpolation for variable martingale Hardy–Lorentz–Karamata spaces	3
Global well-posedness for second grade fluids	2
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	2
Tight wavelet frames on the space of M-positive vectors	2
A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization	2
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	2
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	2
Convergence analysis of deep residual networks	2
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	2
Convergence rates of regularized Huber regression under weak moment conditions	2
Boundedness and compactness of commutators associated with Lipschitz functions	2
Asymptotic expansion of the generalized hypergeometric function pFq(z) as z →∞ for p < q	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	2
Smoothing algorithms for nonsmooth optimization over the Stiefel manifold with applications to the graph Fourier basis problem	2
Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations	2
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	2
Iterative kernel regression with preconditioning	2
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	1
Weighted analytic regularity for the integral fractional Laplacian in polyhedra	1
On the spherical slice transform	1
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	1
Quasi-invariance under flows generated by non-linear PDEs	1
Uniform asymptotics for the discrete Laguerre polynomials	1
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	1
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values	1
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	1

Distributed robust regression with correntropy losses and regularization kernel networks	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	1
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation	1
Optimal temporal decay rates for the compressible viscoelastic flows	1
Images of Gaussian and other stochastic processes under closed, densely-defined, unbounded linear operators	1
Author index Volume 19 (2021)	1
Compressed data separation via unconstrained l1-split analysis	1
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	1
Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds	1
A Liouville theorem and radial symmetry for dual fractional parabolic equations	1
Dynamics of a spatially homogeneous Vicsek model for oriented particles on a plane	1
Global weak solutions to a nonlinear chemotaxis system with singular density-suppressed motility	1
Probabilistic solutions to DAEs learning from physical data	1
Learning variational models with unrolling and bilevel optimization	1
Uniform boundary estimates for Neumann problems in parabolic homogenization	1
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions	0
Mixed-norm Herz spaces and their applications in related Hardy spaces	0
Three matrix factorizations from the steps of elimination	0
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results	0
On a Sobolev-type inequality and its minimizers	0
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	0
Sparse representation of approximation to identity	0
BiGCN: A bi-directional low-pass filtering graph neural network	0
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal	0
Analysis of simultaneous inpainting and geometric separation based on sparse decomposition	0
On the asymptotics of real solutions for the Painlevé I equation	0
Optimal prediction for kernel-based semi-functional linear regression	0
Operator-valued positive definite kernels and differentiable universality	0
Approximation by frame-like multiwavelets	0
Robust learning of the modified Huber loss	0
Viscosity solutions to the inhomogeneous reaction–diffusion equation involving the infinity Laplacian	0
Fujita Phenomena in Nonlinear Fractional Rayleigh-Stokes Equations	0
On the regularity of multilinear Schrödinger integral operators	0
Horocyclic harmonic Bergman spaces on homogeneous trees	0
Improved expected L2-discrepancy formulas on jittered sampling	0
Near-Optimal Tensor Recovery Guarantees for Transformed Total Variation Minimization	0
Author index Volume 20 (2022)	0
Dynamics of dipolar quantum droplets in an extended Gross–Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term	0
Homogenization of supremal functionals in the vectorial case (via Lp-approximation)	0
Iteratively reweighted least squares for block sparse signal recovery with unconstrained l2,p minimization	0
Gabor products and a phase space approach to nonlinear analysis	0
Approximations with deep neural networks in Sobolev time-space	0
Block coordinate type methods for optimization and learning	0
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	0
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	0
Localization of energies in Navier–Stokes models with reaction terms	0
Constructing heat kernels on infinite graphs	0
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	0
Double phase implicit obstacle problems with convection term and multivalued operator	0
Regularized limit, analytic continuation and finite-part integration	0
Local well-posedness of a viscoelastic fluid model for reactive polymers	0
A new development of the harmonic balance method: The hybrid harmonic balance method	0
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	0
Neural network interpolation operators activated by smooth ramp functions	0
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	0
Author index Volume 22 (2024)	0
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation	0
Stability and generalization of graph convolutional networks in eigen-domains	0
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	0
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	0
Convolution operators in matrix weighted, variable Lebesgue spaces	0
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	0
Uniqueness of phase retrieval with short-time linear canonical transform	0
A class of stochastic nonlocal evolution equations with nonlocal initial conditions	0
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity	0
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion	0
On the Radon transform and the Dirac delta distribution in superspace	0
Multilinear Littlewood–Paley operators and commutators on weighted Hardy spaces	0
Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints	0
Zero inertia limit of incompressible Qian–Sheng model	0
Fourier–Bessel series of compactly supported convolutions on disks	0
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	0
Long-time asymptotics for the complex nonlinear transverse oscillation equation	0
Existence and multiplicity of solutions for Kirchhoff elliptic problems with nondegenerate points via nonlinear Rayleigh quotient in ℝN	0
Wasserstein Gradient Flows for Moreau Envelopes of f-Divergences in Reproducing Kernel Hilbert Spaces	0
Gabor frame characterizations of generalized modulation spaces	0
Asymptotic behavior for nonlinear textiles with glued yarns	0
On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties	0
A new binary representation method for shape convexity and application to image segmentation	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
Error analysis of deep Ritz methods for elliptic equations	0
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation	0
Learning with centered reproducing kernels	0
An analysis of noise folding for low-rank matrix recovery	0
A two-weight boundedness criterion and its applications	0
Sampling complexity of deep approximation spaces	0
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	0
Integral and series representations of q-polynomials and functions: Part III theta, Ramanujan and q-Bessel functions	0
Nonlinear approximation spaces for inverse problems	0
Sample complexity bounds for the local convergence of least squares approximation	0
Moduli of smoothness, K-functionals and Jackson-type inequalities associated with kernel function approximation in learning theory	0
Spline representation and redundancies of one-dimensional ReLU neural network models	0
Bootstrap SGD: Algorithmic Stability and Robustness	0
A new regularity criterion for the 3D nematic liquid crystal flows	0
Topological states and continuum model for swarmalators without force reciprocity	0
Kernel Support Matrix Machines with Ramp Loss	0
Remarks on the normal hyperbolic mean curvature flow	0
Existence and asymptotic analysis of a Vlasov–Fokker–Planck/Magnetohydrodynamic system	0
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients	0
A Natural Local Boundedness Result for Solutions of Elliptic-Parabolic Equations	0
A structural characterization of compactly supported OEP-based balanced dual multiframelets	0
Author index Volume 21 (2023)	0
Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series	0
On linear higher-order parabolic equations in Morrey spaces	0
Positive solutions for parametric equations with unbalanced growth and indefinite perturbation	0
Multi-peak solutions to a biharmonic elliptic problem with non-power nonlinearity	0
Asymptotic-preserving finite element analysis of Westervelt-type wave equations	0
Optimal control of a reaction–diffusion model related to the spread of COVID-19	0
Enhancing DCNN Model Performance: Experimental Analysis Based on Data Augmentation	0
Approximation analysis of CNNs from a feature extraction view	0
Approximation, characterization, and continuity of multivariate monotonic regression functions	0