Results 291 to 300 of about 3,355,987 (326)

On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain

, 2013
We give a proof that the first eigenfunction of the α-symmetric stable process on a bounded Lipschitz domain in ℝd$\mathbb {R}^{d}$, d≥1, is superharmonic for α=2/m, where m>2 is an integer. This result was first proved by M. Kaßmann and L. Silvestre for
R. Bañuelos, Dante DeBlassie
semanticscholar   +1 more source

Efficient domain partitioning algorithms for global optimization of rational and Lipschitz continuous functions

Journal of Optimization Theory and Applications, 1989
D Q Mayne
exaly   +2 more sources

The Integrability of Superharmonic Functions on Lipschitz Domains

Bulletin of the London Mathematical Society, 1989
The purpose of the present paper is to show that the inequality \[ \int _{D}u(x)\quad p dist(x,\partial D)\quad m dx\leq const \cdot u(x_ 0)\quad p\quad (x_ 0\in D: fixed) \] holds for all positive superharmonic functions u on a Lipschitz domain D in R n (n\(\geq 2)\), if \(p>0\) and \(m\in R\) satisfy a certain condition determined by n and the ...
Maeda, Fumi-Yuki, Suzuki, Noriaki
openaire   +1 more source

Potential Theory in Lipschitz Domains

Canadian Journal of Mathematics, 2001
AbstractWe prove comparison theorems for the probability of life in a Lipschitz domain between Brownian motion and random walks.
openaire   +1 more source

Traces on Lipschitz Domains

2021
In this chapter we investigate traces of functions \(f\in {{\mathbf {B}}^s_{p,q}}(\Omega )\) on the boundary Γ of Lipschitz domains Ω.
openaire   +1 more source

Gaussian Estimates in Lipschitz Domains

Canadian Journal of Mathematics, 2003
AbstractWe give upper and lower Gaussian estimates for the diffusion kernel of a divergence and nondivergence form elliptic operator in a Lipschitz domain.
openaire   +1 more source

Generalized drift analysis in continuous domain: linear convergence of (1 + 1)-ES on strongly convex functions with Lipschitz continuous gradients

Foundations of Genetic Algorithms, 2019
We prove the linear convergence of the (1 + 1)-Evolution Strategy (ES) with a success based step-size adaptation on a broad class of functions, including strongly convex functions with Lipschitz continuous gradients, which is often assumed to analyze ...
Daiki Morinaga, Youhei Akimoto
semanticscholar   +1 more source

Spectral problems in Lipschitz domains

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Rethinking Propagation for Unsupervised Graph Domain Adaptation

AAAI Conference on Artificial Intelligence
Unsupervised Graph Domain Adaptation (UGDA) aims to transfer knowledge from a labelled source graph to an unlabelled target graph in order to address the distribution shifts between graph domains.
Meihan Liu, Zeyu Fang, Zhen Zhang, Ming Gu, Sheng Zhou, Xin Wang, Jiajun Bu   +6 more
semanticscholar   +1 more source

Complex Powers of the Neumann Laplacian in Lipschitz Domains

Mathematische Nachrichten, 2001
The authors are concerned with peculiarities of the case of Lipschitz domains for solving the following problem: to describe the range of complex powers of the Neumann Laplacian such that the corresponding operator is an isomorphism between a Lebesgue space of functions \({\L}^q\) normalized by the condition that the integrals over the domain vanish ...
Mendez, Osvaldo, Mitrea, Marius
openaire   +2 more sources