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国家天元数学西北中心成功举办Conference on Nonlinear Analysis and Reaction-Diffusion Equations（图）
非线性分析 反应扩散方程 国家天元数学西北中心 学术研讨会
2023/1/3
2021年8月18日-20日，由国家天元数学西北中心主办的非线性分析与反应扩散方程学术研讨会依托线上腾讯会议平台成功举办。本次研讨会为从事非线性分析和反应扩散方程相关领域的专家、学者和研究生提供了一个高水平的学术交流平台。会议期间，邀请了来自清华大学、美国威廉玛丽学院、加拿大麦吉尔大学、加拿大纽芬兰纪念大学、美国迈阿密大学、中国科学技术大学、上海交通大学、兰州大学、四川大学等相关领域的知名专家作了...
An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
2012/6/19
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
Oriented Associativity Equations and Symmetry Consistent Conjugate Curvilinear Coordinate Nets
Oriented Associativity Equations Symmetry Consistent Conjugate Curvilinear Coordinate Nets Exactly Solvable and Integrable Systems
2012/4/26
This paper is devoted to description of the relationship among oriented associativity equations, symmetry consistent conjugate curvilinear coordinate nets, and the widest associated class of semi- Ham...
On a Boundary-Value Problem for One Class of Differential Equations of the Fourth Order with Operator Coefficients
Boundary-Value Problem Operator Coefficients Fourth Order Functional Analysis
2011/9/20
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
Multiscale Homogenizations for first-order Hamilton-Jacobi-Bellman Equations
Multiscale Homogenizations first-order Hamilton-Jacobi-Bellman Equations
2011/2/22
In this paper, we are concerned with the asymptotic behaviors of the solu-tions u"(x, t) and u"(x) of the first-order Hamilton-Jacobi-Bellman equations (H-J-Bs in short) as " = ("1, ..., "n, ..., "N)∈...
A generalization of Osgood's test and a comparison criterion for integral equations with noise
Osgood’s test comparison criterion time of explosion
2011/1/19
In this work, we prove a generalization of Osgood’s test for the ex-plosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of integral equations ...
Perturbational Blowup Solutions to the 1-dimensional Compressible Euler Equations
Perturbational Blowup 1-dimensional Compressible Euler Equations
2011/1/20
We study the construction of analytical non-radially solutions for the 1-dimensional com-pressible adiabatic Euler equations in this article. We could design the perturbational method
to construct a ...
Iteration Procedure for the N-Dimensional System of Linear Equations
linear system iteration hyperplane convergence
2011/3/4
A simple iteration methodology for the solution of a set of a linear algebraic equations is pre-sented. The explanation of this method is based on a pure geometrical interpretation and pictorial repre...
On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators
Nonlinear Evolution Equations Particular C*-algebras Discretizable Hilbert spaces
2011/2/25
In this article we deal with the approximation of solutions of non-linear evolution equations of the form A(u(t))+f(u(t)) = u′(t), the numerical analysis of solutions to this problems will be performe...
Abstract Wave Equations and Associated Dirac-Type Operators
Dirac operators supersymmetry wave equations semigroups
2011/2/25
We discuss the unitary equivalence of generators GA,R associated with abstract damped wave equations of the type u¨+Ru˙ +AAu = 0 in some Hilbert space H1 and certain non-self-adjoint Dirac-type opera...
Operator splitting for nonlinear delay equations
Operator splitting nonlinear delay equations
2010/12/3
We investigate operator splitting methods for a special class of nonlinear partial differential
equation with delay. Using results from the theory of nonlinear contraction semigroups in Hilbert space...
On the constants in a Kato inequality for the Euler and Navier-Stokes equations
Navier-Stokes equations inequalities Sobolev spaces
2010/12/3
We continue an analysis, started in [10], of some issues related to the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus Td. More specifically, we consider the quadratic t...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation
2010/11/29
Conditions for the second-order linear differential equation X3 i=0 a3,ixi ! y′′ + X2 i=0 a2,ixi ! y′− X1 i=0 τ1,ixi! y = 0 to have polynomial solutions are given. Several application of these r...
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
2010/12/16
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics.
A solution to an open problem for wave equations with generalized Wentzell boundary conditions
2007/7/28
期刊信息
篇名
A solution to an open problem for wave equations with generalized Wentzell boundary conditions
语种
英文
撰写或编译
作者
Ti-Jun Xiao,Jin Liang
第一作者单位
刊物名称
Mathematsche Annalen
页面
Vol. 327, 351-363, 2
出版日...