Applicable Analysis

Papers
(The TQCC of Applicable Analysis is 2. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case)45
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation39
Uniform convergence of the LDG method for singularly perturbed problems29
Periodic solutions of a fractional Schrödinger equation25
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces21
On an optimal control problem describing lactate production inhibition19
Gaps in the spectrum of two-dimensional square packing of stiff disks18
Shock wave interactions for a rate-type material model14
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth14
Global well-posedness and large time behavior for the 3D magneto-micropolar equations13
Inertial self-adaptive parallel extragradient-type method for common solution of variational inequality problems13
Uniform attractors for 3D MHD equations with nonlinear damping13
Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model12
Synchronization phenomena in thermoelastic waves connected in parallel12
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations12
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations12
Inversion of the exponential X-ray transform of symmetric 2-tensors11
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay11
Fourth-order nonlinear Schrödinger equations in an exterior domain11
On the blow-up of the inhomogeneous nonlinear Schrödinger equation with power-type perturbation11
The shearlet transform and asymptotic behavior of Lizorkin distributions10
Dipolar Komatu–Loewner differential equation10
Existence of solutions for a class of quasilinear equations with vanishing potentials9
Solution properties of convex sweeping processes with velocity constraints9
Non-existence of stationary solutions for a cross-diffusion food web model with cycle9
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential9
Uniform convergence of the one-dimensional cubic Schrödinger equation8
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach8
General decay of the Cauchy problem for α -evolution models with β -memory term8
Degenerate parabolic equations with partial boundary value conditions8
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity8
On new refinement of the Jensen inequality using uniformly convex functions with applications8
Long wavelength limit of the KP-type equation for the ion dynamics system8
The local characterizations of the singularity formation for the MHD equations7
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion7
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation7
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane7
Hilbert expansion of Boltzmann equations for gas mixture7
On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid7
Propagation of transient acoustic waves in a cancellous bone revisited7
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities7
A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function6
On the fractional PQ laplace operator with weights6
Stabilization of a thermoelastic diffusion system of type II damped and delayed6
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law6
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium6
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N 6
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games6
On limit connection between two problems of complex heat exchange6
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function6
Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations5
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers5
Turing instabilities in a glycolysis reaction-diffusion system5
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional5
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions5
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction5
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure5
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities4
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain4
Uniqueness of non-negative solutions to an integral equation of the Choquard type4
Finite-time blow-up on a volume-filling attraction–repulsion system4
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems4
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops4
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p 4
Non-degeneracy of single-peak solutions to a Kirchhoff equation4
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential4
Limiting dynamics of stochastic heat equations with memory on thin domains4
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations4
Strong convergence of the forward–backward splitting algorithms via linesearches in Hilbert spaces4
Inversion formula for the windowed linear canonical transform4
An inverse problem for the system modeling nonhomogeneous asymmetric fluids4
The first 50 years for applicable analysis4
A study on a class of weighted elliptic problems with indefinite nonlinearities4
Remarks on the inverse problem for an energy-dependent hamiltonian4
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems4
The multidimensional coagulation and collisional breakage equation with unbounded kernel4
Positive and sign-changing solutions for nonlinear equations with rapid growing weights4
Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping4
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system3
Fibonacci and Lucas Riordan arrays and construction of pseudo-involutions3
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation3
An open mapping theorem for nonlinear operator equations associated with elliptic complexes3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity3
Null controllability of some stochastic complex parabolic equations with singular potentials3
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions3
Attractors for partially damped systems of binary mixtures of solids3
Bilinear boundary optimal control with final observation for the heat equation3
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve3
The Fourier–Bessel method for the inverse scattering problem of cavities3
Integral type Cauchy problem for abstract wave equations and applications3
High-frequency homogenization of multidimensional hyperbolic equations3
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions3
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping3
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays3
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach3
Blow-up time analysis of parabolic equations with variable nonlinearities3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus3
Focusing intercritical NLS with inverse-square potential3
Asymptotic stability for stochastic elastic systems with damping3
On an incompressible inertial nematic electrolyte model of liquid crystal flow3
Quasi-periodic solutions for a class of wave equation system3
Resonance frequencies of arbitrarily shaped dielectric cylinders3
Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains3
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source3
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity3
H 2 -solutions for an Ostrosky–Hunter type equation3
Estimates on blow-up time of a parabolic system with nonlinear boundary flux3
On the univalence of certain polyharmonic mappings under differential operator3
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions3
Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem3
Mathematical model of cancer with radiotherapy and chemotherapy treatments3
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium2
Riemann problem of (λ,k) bi-analytic functions2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction2
Homogenization of a mixed boundary condition2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term2
Local and global analyticity for theμ-Novikov equation2
Recovering density for the Mindlin–Timoshenko system by means of a single boundary measurement2
Fast computation of the multidimensional fractional Laplacian2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions2
Spectral stability of periodic traveling wave solutions for a double dispersion equation2
Multiplicity results for a system involving the p(x)- Laplacian operator2
Random potentials for Markov processes2
Strong waves for epidemic model with time-space delay and multiple infectious stages2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude2
Blow-up of positive solutions for the semilinear heat equation with a potential2
Flocking under hierarchical leadership with symmetrical and asymmetrical delays2
A multi level linearized Crank–Nicolson scheme for Richards equation under variable flux boundary conditions2
Multiple tsunami waves of the fractional geophysical KdV equation2
New concentrated solutions for the nonlinear Schrödinger–Newton system2
Well-posedness and dynamical properties for a class of plate equation2
Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(ℝ)2
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy2
Strongly convergent inertial extragradient type methods for equilibrium problems2
Biparametric identification for a free boundary of ductal carcinoma in situ2
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings2
Singular p(x) -Laplacian equation with application to boundary layer theory2
Asymptotic behavior of solutions of some stochastic integro-differential equations with infinite delay2
Monotone iterative technique for delay elastic systems in ordered Banach space2
New stability result for bresse system with dual-phase-lag thermoelasticity2
Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core2
Non-linear boundary condition for non-ideal electrokinetic equations in porous media2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation2
Inertial proximal point algorithm for variational inclusion in Hadamard manifolds2
Pressure behavior and wave height estimates for steady periodic equatorial water waves2
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay2
Energy decay for coupled wave-plate system with one Kelvin-Voigt or structural damping2
Existence and regularity of global solutions to a Cauchy problem for a square phase-field crystal model2
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems2
Local error estimates and post processing for the Galerkin BEM on polygons2
Implicit fractional sweeping process with application to unilateral contact problem2
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity2
Multiplicity of solutions for a non-local problem with indefinite weights2
Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems2
Weak solutions to the full MHD system with non-homogeneous boundary conditions2
The local well-posedness for the dispersion generalized Camassa–Holm equation2
Estimates for coderivative of solution map in bilevel program2
The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation2
On the Cauchy problem for the two-component Novikov system with peakons2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term2
Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit2
Domain truncation methods for the wave equation in a homogenization limit2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow2
A partially degenerate reaction–diffusion cholera model with temporal and spatial heterogeneity2
The decay rate of solutions to some second-order evolution equations with the nonlinear supercritical damping term2
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