Results 241 to 250 of about 2,989,822 (277)

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

Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain

, 2020
We prove the existence and uniqueness of the mild solution for a nonlinear stochastic heat equation defined on an unbounded spatial domain. The nonlinearity is not assumed to be globally, or even locally, Lipschitz continuous. Instead the nonlinearity is
M. Salins
semanticscholar   +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

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

Mixed problems in a Lipschitz domain for strongly elliptic second-order systems

, 2011
M. Agranovich
semanticscholar   +1 more source

On a mixed Poincaré-Steklov type spectral problem in a Lipschitz domain

, 2006
M. Agranovich
semanticscholar   +1 more source

Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary

, 2008
M. Agranovich
semanticscholar   +1 more source

On a Time-Dependent Transport Equation in a Lipschitz Domain

SIAM Journal on Mathematical Analysis, 2010
V. Girault, L. R. Scott
semanticscholar   +1 more source

ON THE CONVERGENCE OF BIEBERBACH POLYNOMIALS IN THE CASE OF A LIPSCHITZ DOMAIN

, 1979
I. Simonenko
semanticscholar   +1 more source

The Mixed Boundary Problem in L p and Hardy spaces for Laplace ’ s Equation on a Lipschitz Domain

, 2001
J. D. Sykes, Russell M. Brown
semanticscholar   +1 more source