Chinese Annals of Mathematics, Series B
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The rain on underground porous media Part I: Analysis of a richards model
Chinese Annals of Mathematics, Series B - Tập 34 - Trang 193-212 - 2013
The Richards equation models the water flow in a partially saturated underground
porous medium under the surface. When it rains on the surface, boundary
conditions of Signorini type must be considered on this part of the boundary.
The authors first study this problem which results into a variational inequality
and then propose a discretization by an implicit Euler’s scheme in time and
finite eleme...
Stochastic fractional Anderson models with fractional noises
Chinese Annals of Mathematics, Series B - Tập 31 - Trang 101-118 - 2009
The authors are concerned with a class of one-dimensional stochastic Anderson
models with double-parameter fractional noises, whose differential operators are
fractional. A unique solution for the model in some appropriate Hilbert space is
constructed. Moreover, the Lyapunov exponent of the solution is estimated, and
its Hölder continuity is studied. On the other hand, the absolute continuity of
t...
Existence of nontrivial solutions for p-Laplacian variational inclusion systems in ℝ N
Chinese Annals of Mathematics, Series B - Tập 32 - Trang 619-630 - 2011
The authors study the existence of nontrivial solutions to p-Laplacian
variational inclusion systems $\left\{ \begin{gathered} - \Delta _p u + \left| u
\right|^{p - 2} u \in \partial _1 F\left( {u,v} \right), in \mathbb{R}^N ,
\hfill \\ - \Delta _p v + \left| v \right|^{p - 2} v \in \partial _2 F\left(
{u,v} \right), in \mathbb{R}^N , \hfill \\ \end{gathered} \right.$ where N ≥ 2,
2 ≤ p ≤ N and F:...
Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy
Chinese Annals of Mathematics, Series B - Tập 41 - Trang 303-324 - 2020
In this paper the authors investigate the boundedness and almost periodicity of
solutions of semilinear parabolic equations with boundary degeneracy. The
equations may be weakly degenerate or strongly degenerate on the lateral
boundary. The authors prove the existence, uniqueness and global exponential
stability of bounded entire solutions, and also establish the existence theorem
of almost period...
Asymptotic results for tail probabilities of sums of dependent and heavy-tailed random variables
Chinese Annals of Mathematics, Series B - Tập 33 - Trang 557-568 - 2012
Let X 1,X 2, ... be a sequence of dependent and heavy-tailed random variables
with distributions F 1, F 2, ... on (−∞,∞), and let τ be a nonnegative
integer-valued random variable independent of the sequence {X k , k ≥ 1}. In
this framework, the asymptotic behavior of the tail probabilities of the
quantities $$S_n = \sum\limits_{k = 1}^n {X_k }$$ and $$S_{(n)} = \mathop {\max
}\limits_{1 \leqslant...
Biến hình f-Harmonic giữa các đa tạp Riemann Dịch bởi AI
Chinese Annals of Mathematics, Series B - Tập 35 - Trang 225-236 - 2014
Các bản đồ f-Harmonic lần đầu tiên được giới thiệu và nghiên cứu bởi
Lichnerowicz vào năm 1970. Trong bài báo này, tác giả nghiên cứu một phân lớp
của các bản đồ f-harmonic gọi là các biến hình f-harmonic, có khả năng kéo ngược
các hàm hài hòa địa phương thành các hàm f-harmonic địa phương. Tác giả chứng
minh rằng một bản đồ giữa các đa tạp Riemann là một biến hình f-harmonic nếu và
chỉ nếu nó là ...
#f-harmonic #Riemannian manifold #morphism #harmonicity #conformal immersion
Structural Properties of Homomorphism Dilation Systems
Chinese Annals of Mathematics, Series B - Tập 41 Số 4 - Trang 585-600 - 2020
Inspired by some recent development on the theory about projection valued
dilations for operator valued measures or more generally bounded homomorphism
dilations for bounded linear maps on Banach algebras, the authors explore a pure
algebraic version of the dilation theory for linear systems acting on unital
algebras and vector spaces. By introducing two natural dilation structures,
namely the can...
Symmetries and their lie algebra of a variable coefficient Korteweg-de Vries hierarchy
Chinese Annals of Mathematics, Series B - Tập 37 - Trang 543-552 - 2016
Isospectral and non-isospectral hierarchies related to a variable coefficient
Painlevé integrable Korteweg-de Vries (KdV for short) equation are derived. The
hierarchies share a formal recursion operator which is not a rigorous recursion
operator and contains t explicitly. By the hereditary strong symmetry property
of the formal recursion operator, the authors construct two sets of symmetries
and ...
On a Lotka-Volterra Competition Diffusion Model with Advection
Chinese Annals of Mathematics, Series B - Tập 42 - Trang 891-908 - 2021
In this paper, the author focuses on the joint effects of diffusion and
advection on the dynamics of a classical two species Lotka-Volterra
competition-diffusion-advection system, where the ratio of diffusion and
advection rates are supposed to be a positive constant. For comparison purposes,
the two species are assumed to have identical competition abilities throughout
this paper. The results exp...
Quasi-sure flows associated with vector fields of low regularity
Chinese Annals of Mathematics, Series B - Tập 35 - Trang 51-68 - 2014
The authors construct a solution U t (x) associated with a vector field on the
Wiener space for all initial values except in a 1-slim set and obtain the
1-quasi-sure flow property where the vector field is a sum of a skew-adjoint
operator not necessarily bounded and a nonlinear part with low regularity,
namely one-fold differentiability. Besides, the equivalence of capacities under
the transformat...
Tổng số: 754
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