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L-p Solutions for Multidimensional BDSDEs with Locally Weak Monotonicity Coefficients

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (3)

In this paper, the authors establish the existence and uniqueness theorem of L-p (1 < p <= 2) solutions for multidimensional backward doubly sto......

The Stochastic Control Model for Use Conversion of Land

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (2)

In this paper, the authors investigate the optimal conversion rate at which land use is irreversibly converted from biodiversity conservation to agric......

Hermitian-Poisson Metrics on Flat Bundles over Complete Hermitian Manifolds

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (4)

In this paper, the author solves the Dirichlet problem for Hermitian-Poisson metric equation root-1 Lambda(omega)G(H) = lambda Id and proves the exist......

Existence of the Eigenvalues for the Cone Degenerate p-Laplacian

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (2)

The present paper is concerned with the eigenvalue problem for cone degenerate p-Laplacian. First the authors introduce the corresponding weighted Sob......

Time-Periodic Fitzhugh-Nagumo Equation and the Optimal Control Problems

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (3)

In this work, the authors considered the periodic optimal control problem of Fitzhugh-Nagumo equation. They firstly prove the existence of time-period......

Computational Tools in Weighted Persistent Homology

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (2)

In this paper, the authors study further properties and applications of weighted homology and persistent homology. The Mayer-Vietoris sequence and gen......

Some Gradient Estimates and Liouville Properties of the Fast Diffusion Equation on Riemannian Manifolds

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (4)

In the paper, the authors provide a new proof and derive some new elliptic type (Hamilton type) gradient estimates for fast diffusion equations on a c......

The Convergence Rate from Discrete to Continuous Optimal Investment Stopping Problem

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (2)

The author studies the optimal investment stopping problem in both continuous and discrete cases, where the investor needs to choose the optimal tradi......

A Rigidity Result of Spacelike Self-Shrinkers in Pseudo-Euclidean Spaces

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (2)

In this paper, the author proves that the spacelike self-shrinker which is closed with respect to the Euclidean topology must be flat under a growth c......

Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M-2 x Double-struck capital R*

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (2)

In this paper, for the Lorentz manifold M-2 x Double-struck capital R with M-2 a 2-dimensional complete surface with nonnegative Gaussian curvature, t......

An Explicit Example of a Reich Sequence for a Uniquely Extremal Quasiconformal Mapping

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (3)

An explicit example of a Reich sequence for a uniquely extremal quasiconformal mapping in a borderline case between uniqueness and non-uniqueness is g......

Moduli Space of Quasi-Polarized K3 Surfaces of Degree 6 and 8

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (3)

In this paper, the authors study the moduli space of quasi-polarized complex K3 surfaces of degree 6 and 8 via geometric invariant theory. The general......

Perfect State Transfer on Weighted Abelian Cayley Graphs

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (4)

Recently, there are extensive studies on perfect state transfer (PST for short) on graphs due to their significant applications in quantum information......

Weighted Moore-Penrose Inverses and Weighted Core Inverses in Rings with Involution

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (4)

In this paper, the authors derive the existence criteria and the formulae of the weighted Moore-Penrose inverse, the e-core inverse and the f-dual cor......

Willmore Surfaces in Spheres via Loop Groups IV: On Totally Isotropic Willmore Two-Spheres in S-6

期刊: CHINESE ANNALS OF MATHEMATICS SERIES B, 2021; 42 (3)

In this paper the author derives a geometric characterization of totally isotropic Willmore two-spheres in S-6, which also yields to a description of ......

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