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ON UNIQUENESS OF SOLUTION OF A n-TH ORDER DIFFERENTIAL EQUATION IN CONFORMAL GEOMETRY
ON UNIQUENESS OF SOLUTION A n-TH ORDER DIFFERENTIAL EQUATION CONFORMAL GEOMETRY
2014/4/3
In this paper, we prove an uniqueness theorem for a n-th order elliptic equation on the standard n-sphere Sn. The problem arises naturally from the point of view of conformal geometry. The method we u...
Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation
Existence and Blow-Up Behavior Solutions of the Generalized Jang Equation Differential Geometry
2012/6/9
The generalized Jang equation was introduced in an attempt to prove the Penrose inequality in the setting of general initial data for the Einstein equations. In this paper we give an extensive study o...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
Computational Epidemiology Individual-based models Networks Complex Dynamics
2011/2/23
The surveillance, analysis and ultimately the efficient long-term prediction and control of epidemic dynamics appear to be one of the major challenges nowadays. Detailed atomistic mathematical models ...
Restrictions on the geometry of the periodic vorticity equation
Non-metric Euler equation geodesic flow diffeomor-phism group of the circle
2010/11/30
We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group Diff1(S1) of all smooth and orientation-preservi...
A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole
Vector Field Method Approach Improved Decay for Solutions Wave Equation Kerr Black Hole
2010/12/15
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates || C(t)−3
2 + on a compact r...
Scaling Equation for Invariant Measure
invariant measure iterated system scaling equations wavelet transform
2007/8/15
2003Vol.39No.3pp.295-296DOI:
Scaling Equation for Invariant Measure
LIU Shi-Kuo,1 FU Zun-Tao,1,2 LIU Shi-Da,1,2
and REN Kui1
1 School of Physics, Peking University, Beij...
NEUMANN SERIES SOLUTION TO A NEUTRON TRANSPORT EQUATION OF SLAB GEOMETRY
Neutron transport equation series soluti
2007/8/7
This paper deals with the solution to an energy, dependent stationary neutron transport equation of slab geometry. In L~p space, the equation is converted into an equivalent integral equation. By the ...
专著信息
书名
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
J. Computational Physics, to appe...
专著信息
书名
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with partial transmissions and reflections,
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
SIAM J. Numerial Analysis, s...
专著信息
书名
Computation of Transmissions and Reflections in Geometrical Optics via the Reduced Liouville Equation,
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
Wave Motion, submitted.
出版地
出版日期
年
月
日
标准书号
介...
期刊信息
篇名
Instability in a geometric parabolic equation on convex domain
语种
英文
撰写或编译
作者
S. Jimbo,翟健
第一作者单位
刊物名称
J. Differential Equations
页面
188,447-460 ,2003年3月
出版日期
2003年
3月
日
文章标识(ISSN)
相关项目
几何与物理中非线...
We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pen...