Results 121 to 130 of about 5,210,310 (318)
On Fractional Schrodinger Equations in sobolev spaces [PDF]
, 2015 Let $\sigma\in(0,1)$ with $\sigma\neq\frac{1}{2}$. We investigate the fractional nonlinear Schr\"odinger equation in $\mathbb R^d$: $$i\partial_tu+(-\Delta)^\sigma u+\mu|u|^{p-1}u=0,\, u(0)=u_0\in H^s,$$ where $(-\Delta)^\sigma$ is the Fourier multiplier
Younghun Hong, Y. Sire
semanticscholar +1 more source
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Computer Graphics Forum, EarlyView.Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Sharp log-Sobolev inequalities in ${\sf CD}(0,N)$ spaces with applications
, 2023 Given $p,N>1,$ we prove the sharp $L^p$-log-Sobolev inequality on noncompact metric measure spaces satisfying the ${\sf CD}(0,N)$ condition, where the optimal constant involves the asymptotic volume ratio of the space.
Kristály, Alexandru +3 more
core +1 more source
The Russian Review, EarlyView.Abstract How did World War II affect the nature and resilience of Soviet institutions and authority, especially in the extreme case of the Blockade of Leningrad? During the Blockade, Leningraders acted with great agency by engaging in the shadow trade of food and shadow talk for information and community in order to survive.
Jeffrey K. Hass, Nikita A. Lomagin
wiley +1 more source
Sobolev spaces on graded groups [PDF]
, 2017 15.05.14 KB. Ok to add working paper to spiral, authors retain copyrightWe study the Lp-properties of positive Rockland operators and define Sobolev spaces on general graded groups. This generalises the case of sub-Laplacians on stratified groups studied
Fischer, V, Ruzhansky, M
core +1 more source
Sobolev spaces adapted to the Schrödinger operator with inverse-square potential [PDF]
, 2015 We study the $$L^p$$Lp-theory for the Schrödinger operator $$\mathcal L_a$$La with inverse-square potential $$a|x|^{-2}$$a|x|-2. Our main result describes when $$L^p$$Lp-based Sobolev spaces defined in terms of the operator $$(\mathcal L_a)^{s/2}$$(La)s ...
R. Killip +4 more
semanticscholar +1 more source
Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces
Journal of Function Spaces, 2014 We continue our research on Sobolev spaces on locally compact abelian (LCA) groups motivated by our work on equations with infinitely many derivatives of interest for string theory and cosmology.
Przemysław Górka +2 more
doaj +1 more source
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
A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
Journal of Inequalities and Applications, 2016 In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
Jian-Ping Zhang, Yun-Zhang Li
doaj +1 more source
The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
europepmc +1 more source