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**hu Li
Mathematics
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Article
Open AccessCorrection to: p-Parabolicity and a Generalized Bochner’s Method with Applications
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Article
Open AccessGlobal dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition
We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas, techniques, and the theory of the principal spectral and monotone ...
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Open AccessDispersive Wave Focusing on a Shear Current: Part 2—Nonlinear Effects
Continuing our recent work [Ellingsen et al., Water Waves (2024)] we investigate the influence of vertically sheared currents on the surface elevation as well as the kinematics of dispersively focusing wave group...
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Open AccessGreen functions and smooth distances
In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly rectifiable if and only if the ...
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Open AccessSolving Nonlinear Wave Equations Based on Barycentric Lagrange Interpolation
In this paper, we deeply study the high-precision barycentric Lagrange interpolation collocation method to solve nonlinear wave equations. Firstly, we introduce the barycentric Lagrange interpolation and provi...
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Open AccessArithmetic fundamental lemma for the spherical Hecke algebra
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity conjecture on Hecke operators. Then we formulate the arithmetic fu...
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Open AccessEmpowering standardization of cancer vaccines through ontology: enhanced modeling and data analysis
The exploration of cancer vaccines has yielded a multitude of studies, resulting in a diverse collection of information. The heterogeneity of cancer vaccine data significantly impedes effective integration and...
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Open AccessExistence of generating families on Lagrangian cobordisms
For an embedded exact Lagrangian cobordism between Legendrian submanifolds in the 1-jet bundle, we prove that a generating family linear at infinity on the Legendrian at the negative end extends to a generatin...
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Open AccessSimultaneous extreme values of zeta and L-functions
We show that distinct primitive L-functions can achieve extreme values simultaneously on the critical line. Our proof uses a modification of the resonance method and can be applied to establish simultaneous extre...
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Open AccessDual and generalized dual cones in Banach spaces
This paper proposes and analyzes the notion of dual cones associated with the metric projection and generalized projection in Banach spaces. We show that the dual cones, related to the metric projection and ge...
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Open Accessp-Parabolicity and a Generalized Bochner’s Method with Applications
The notions of function growth and sharp global integral estimates in p-harmonic geometry in Wei (Contemp Math 756:247–269, 2020) and Wei et al. (Sharp estimates on
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Open AccessAn expanded analysis of local fractional integral inequalities via generalized \((s,P)\) -convexity
This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized
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Open AccessOn the optimal controllability for a class of Katugampola fractional systems
This study is centered on the optimal controllability of differential equations involving fractional derivatives of Katugampola. We derive both necessary and sufficient conditions for optimal controllability b...
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Open AccessApplications of martingale Hardy Orlicz–Lorentz–Karamata theory in Fourier analysis
In this article, we discuss the applications of martingale Hardy Orlicz–Lorentz–Karamata spaces in Fourier analysis. More precisely, we show that the partial sums of the Walsh–Fourier series converge to the fu...
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Open AccessLearning unbounded-domain spatiotemporal differential equations using adaptive spectral methods
Rapidly develo** machine learning methods have stimulated research interest in computationally reconstructing differential equations (DEs) from observational data, providing insight into the underlying mecha...
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Open AccessPersistence of heterodimensional cycles
A heterodimensional cycle is an invariant set of a dynamical system consisting of two hyperbolic periodic orbits with different dimensions of their unstable manifolds and a pair of orbits that connect them. Fo...
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Open AccessQuantum Lefschetz property for genus two stable quasimap invariants
By the reduced component in a moduli space of stable quasimaps to n-dimensional projective space \(\mathbb {P}^n\) ...
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Open AccessA vertical track nonlinear energy sink
Eliminating the effects of gravity and designing nonlinear energy sinks (NESs) that suppress vibration in the vertical direction is a challenging task with numerous dam** requirements. In this paper, the dyn...
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Open AccessThe Ariki–Koike algebras and Rogers–Ramanujan type partitions
Ariki and Mathas (Math Z 233(3):601–623, 2000) showed that the simple modules of the Ariki–Koike algebras $$\mathcal {H}_{\mathbb {C},v;Q_1,\ldots , Q...
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Open AccessThe Dynamic Bifurcation for the Granulation Convection in Cylindrical Coordinates
This work formulates the simplified governing equations for granulation convection system in cylindrical coordinates by using the differential operator theory on Riemann manifold. We consider the case where th...
