Results 41 to 50 of about 5,040,927 (317)
Sobolev spaces on warped products [PDF]
Journal of Functional Analysis, 2018 Corrected few typos in the previous version and updated the ...
Gigli, Nicola, Han, Bang-Xian
openaire +4 more sources
Sobolev capacity on the space W1, p(⋅)(ℝn)
Journal of Function Spaces and Applications, 2003 We define Sobolev capacity on the generalized Sobolev space W1, p(⋅)(ℝn). It is a Choquet capacity provided that the variable exponent p:ℝn→[1,∞) is bounded away from 1 and ∞.
Petteri Harjulehto +3 more
doaj +1 more source
Entropy, 2018 We investigate the exponential convergence of a Markovian semigroup in the Zygmund space under the assumption of logarithmic Sobolev inequality. We show that the convergence rate is greater than the logarithmic Sobolev constant.
Ichiro Shigekawa
doaj +1 more source
Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space [PDF]
, 2002 The authors compute the long-time asymptotics for solutions of the NLS equation just under the assumption that the initial data lies in a weighted Sobolev space. In earlier work (see e.g.
P. Deift, Xin Zhou
semanticscholar +1 more source
Trace of Homogeneous Fractional Sobolev Spaces on Strip-like Domains [PDF]
arXiv, 2022 In this paper, we discuss the trace operator for homogeneous fractional Sobolev spaces over infinite strip-like domains. We determine intrinsic seminorms on the trace space that allow for a bounded right inverse. The intrinsic seminorm includes two features previously used to describe the trace of homogeneous Sobolev spaces, a relation between the two ...
arxiv
Degree and Sobolev spaces [PDF]
Topological Methods in Nonlinear Analysis, 1999 Let $u$ belong (for example) to $W^{1,n+1}(S^n\times \Lambda, S^n)_{\lambda\in\Lambda}$ where $\Lambda$ is a connected open set in ${\mathbb R}^k$. For a.e. the map $x\mapsto u(x,\lambda)$ is continuous from $S^n$ into $S^n$ and therefore its (Brouwer) degree is well defined. We prove that this degree is independent of $\lambda$ a.e.
Brezis, Haïm +3 more
openaire +3 more sources
Multiplication in Sobolev spaces, revisited [PDF]
Arkiv för Matematik, 2021 25 pages, no figures.
Michael Holst, A. Behzadan
openaire +3 more sources
Traces of multipliers in pairs of weighted Sobolev spaces
Journal of Function Spaces and Applications, 2005 We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.
Vladimir Maz'ya, Tatyana Shaposhnikova
doaj +1 more source
New reproducing kernel functions in the reproducing kernel Sobolev spaces
AIMS Mathematics, 2020 In this paper we construct some new reproducing kernel functions in the reproducing kernel Sobolev space. These functions are new in the literature. We can solve many problems by these functions in the reproducing kernel Sobolev spaces.
Ali Akgül +2 more
doaj +1 more source
$L^p$-Taylor approximations characterize the Sobolev space $W^{1,p}$ [PDF]
, 2015 In this note, we introduce a variant of Calder\'on and Zygmund's notion of $L^p$-differentiability - an \emph{$L^p$-Taylor approximation}. Our first result is that functions in the Sobolev space $W^{1,p}(\mathbb{R}^N)$ possess a first order $L^p$-Taylor ...
Spector, Daniel E.
core +3 more sources