Results 31 to 40 of about 5,171,937 (249)
Ostrowski-type inequalities in abstract distance spaces
For non-empty sets X we define notions of distance and pseudo metric with values in a partially ordered set that has a smallest element $\theta $. If $h_X$ is a distance in $X$ (respectively, a pseudo metric in $X$), then the pair $(X,h_X)$ is called a
V.F. Babenko +2 more
doaj +1 more source
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley +1 more source
Lagrangian systems with Lipschitz obstacle on manifolds [PDF]
Lagrangian systems constrained on the closure of an open subset with Lipschitz boundary in a manifold are considered.
Lancelotti, Sergio +3 more
core
EXTENSION OF LIPSCHITZ-TYPE OPERATORS ON BANACH FUNCTION SPACES [PDF]
[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere inequalities and other measure-
Sánchez-Pérez, Enrique A. +4 more
core +1 more source
Front Propagation Through a Perforated Wall
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley +1 more source
On Series-Like Iterative Equation with a General Boundary Restriction
By means of Schauder fixed point theorem and Banach contraction principle, we investigate the existence and uniqueness of Lipschitz solutions of the equation 𝒫(f)∘f=F. Moreover, we get that the solution f depends continuously on F.
Wei Song, Guo-qiu Yang, Feng-chun Lei
doaj +2 more sources
On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces [PDF]
In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform.
Bespalov, A, Heuer, N
core +4 more sources
Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
doaj +1 more source
Well ordered monotone iterative technique for nonlinear second order four point Dirichlet BVPs
In this article, we develop a monotone iterative technique (MI-technique) with lower and upper (L-U) solutions for a class of four-point Dirichlet nonlinear boundary value problems (NLBVPs), defined as, where , the non linear term is continuous ...
Amit Verma, Nazia Urus
doaj +1 more source

