位置：成果数据库 > 期刊 > 期刊详情页
关于L^2（Ω,R^3）中方程div b=0
  • 时间：0
  • 分类：O174.22[理学—数学;理学—基础数学]
  • 作者机构：汕头大学数学系,广东汕头515063
  • 相关基金：国家自然科学基金资助项目（11171203;11571217）; 广东省自然科学基金（2014A030313471）; 广东省高校国际暨港澳台科技合作与创新平台项目（2014KGJHZ007）
作者： 陈思萍, 娄增建
关键词： 方程, L^2(Ω, R^3), SOBOLEV空间, equation , L^2（Ω,R^3） , Sobolev space
中文摘要：

对于b∈L^2（Ω,R^3）,v·b｜аΩ=0,运用一个初等方法我们证明方程div b=0有一个解b=cur｜φ,其中φ属于Sobolev空间H0^1（Ω,R^3）。

英文摘要：

Abstract For b∈ L^2 （Ω,R^3）, v.bba = 0, with an elementary proof we show that the equation div b = 0 has a solution b = curl φ for φ in the Sobolev space Hi （Ω,R^3）.

同期刊论文项目
R_+^(n+1)上调和函数空间的分布边值及其应用研究
期刊论文 1
临界Q型空间及其在流体方程中的应用
期刊论文 27
同项目期刊论文
Lp boundedness of commutator operator associated with Schrodinger operators on Heisenberg group
Schr？dinger type operators on generalized Morrey spaces
Pseudo-annular decomposition and approximate rate ofCalder′on–Zygmund operators on Heisenberg group
Well-posedness of quasi-geostrophic equations with data in Besov-Q spaces
Global mild solutions to modified navier-stokes equations with small initial data in critical besov-
Improving multipliers and zero sets in QK spaces
Characterizations of the Dirichlet-Type Space
A Class of Unbounded Fourier Multipliers on the Unit Complex Ball
Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev
Spaces of harmonic functions with boundary values in
STABILITY AND MORREY SPACES RELATED TO MULTIPLIERS
Weighted Differentiation Composition Operators to Bloch-Type Spaces
Wavelets, Sobolev Multipliers, and Application to Schrodinger Type Operators with Nonsmooth Potentia
Carleson measure for analytic Morrey spaces, , .
A compactness criterion and application to the commutatorsassociated with Schr¨odinger operators
On multipliers of Dirichlet type spaces
Regular orthogonal basis on Heisenberggroup and application to function spaces
Properties of analytic Morrey spaces and applications
Analytic version of critical Q spaces and their properties， doi.10.1080/17476933.2015.1013949
Wavelets and the well-posedness of incompressible magneto-hydrodynamic equations in Besov type Q-spa
Inner Functions as Improving Multipliers and Zero sets of Besov-type Spaces