搜索结果: 1-10 共查到“泛函分析 sobolev”相关记录10条 . 查询时间(0.034 秒)
Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
interpolation inequality Landau-Kolmogorov type inequality Variable exponent Lebesgue-Sobolev space maximal function operator
2011/10/26
The author shows the interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces by applying the boundedness of the Hardy-Littlewood maximal operator on L^{p(x)}. As applic...
$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions
Nemytskii operators Sobolev-type spaces of periodic functions C1-smoothness Functional Analysis
2011/9/19
Abstract: We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main res...
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Sobolev spaces Riemannian manifold algebra rule paraproducts heat semigroup
2011/9/15
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
A unified treatment of ODEs under Osgood and Sobolev type conditions
DiPerna–Lions theory Sobolev regularity Osgood condition regular Lagrangian flow transport equation
2011/9/5
Abstract: In this paper we prove the existence, uniqueness and regularity of the DiPerna--Lions flow generated by a vector field which is "almost everywhere Osgood continuous", following Crippa and de...
Factoring Sobolev inequalities through classes of functions
Sobolev inequality sharp constants affine isoperimetric inequalities
2011/9/1
Abstract: We recall two approaches to recent improvements of the classical Sobolev inequality. The first one follows the point of view of Real Analysis, while the second one relies on tools from Conve...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
This paper extends parts of the results from [14] for plane curves to the case of surfaces in Rn. Let M be a compact connected oriented manifold of dimension less than n without boundary. Then shape s...
Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
Sobolev圆盘代数的不变子空间
不变子空间 Sobolev圆盘代数 乘法算子
2008/12/8
本文研究了Sobolev圆盘代数$R({D})$上的乘法算子$M_z$的不变子空间,完全刻画了余维有限的不变子空间的结构.
EMBEDDING AND MAXIMAL REGULAR DIFFERENTIAL OPERATORS IN SOBOLEV-LIONS SPACES
embedding operators Banach-valued function spaces differential operator equations (DOE) maximal regularity operator-valued Fourier multipliers interpolation of Banach spaces
2007/12/11
This study focuses on vector-valued anisotropic Sobolev--Lions spaces associated with Banach spaces $E_{0},$ $E$. Several conditions are found that ensure the continuity and compactness of embedding o...