Results 61 to 70 of about 12,650 (261)
Mitigating measurement error in misspecified small area models
Canadian Journal of Statistics, EarlyView.Abstract In the framework of Small area estimation, we consider an area‐level model where a subset of covariates is measured with error. The extent of the error is assumed to be constant throughout the areas, and it is expressed by a scalar parameter γ$$ \gamma $$, which multiplies the deterministic covariance matrix of the estimator of the true ...
Diego Battagliese +3 more
wiley +1 more source
Positive solutions for generalized Hardy-Henon equations
Electronic Journal of Differential EquationsThis article concerns a generalized Hardy-Henon equation and its associated Dirichlet problem. We obtain upper and lower estimates for positive solutions, and establish the existence and nonexistence of positive solutions to both the equation and its ...
Xizheng Zhang, Xiyou Cheng, Meihua Yang
doaj +3 more sources
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.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
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Dirichlet problem Characterization of regularity
manuscripta mathematica, 1994 The author studies the regularity of the solutions to the Dirichlet problem \[ Lu\equiv -(a_{ij} u_{x_ i} )_{x_ j}= f \quad\text{in }\Omega, \qquad u=0 \quad \text{in }\partial\Omega \tag{1} \] where \(\mu\) is a given bounded variation measure on \(\Omega\) (bounded open subset of \(\mathbb{R}^ n\)), \(a_{ij}= a_{ji}\in L^ \infty (\Omega)\), \(i,j= 1,\
openaire +2 more sources
Planar Coulomb Gas on a Jordan Arc at Any Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley +1 more source
Shifting Tides: A Decade of Business Climate Adaptation and Resilience Research (2013–2023)
Corporate Social Responsibility and Environmental Management, EarlyView.ABSTRACT Climate change is causing significant disruptions to the socio‐ecological systems in which organizations operate, presenting unprecedented challenges for businesses across sectors in adapting to shifting environmental conditions and building resilience to extreme weather events.
Domenico Villano +3 more
wiley +1 more source
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]
Calc Var Partial Differ Equ, 2021 Guerra A, Koch L, Lindberg S.
europepmc +1 more source
Towards a Mean‐Field Braginskii Model for Stellarators
Contributions to Plasma Physics, EarlyView.ABSTRACT Experiments in the stellarator Wendelstein 7‐X indicate that particle drifts have a significant impact on the plasma in the scrape‐off layer. However, drift effects have been absent in the mean‐field transport codes such as EMC3‐Eirene. For this reason, we present the first steps towards a mean‐field model that incorporates drifts. The code is
T. Tork +7 more
wiley +1 more source
A Semiautomatic Multi-Label Color Image Segmentation Coupling Dirichlet Problem and Colour Distances. [PDF]
J Imaging, 2021 Aletti G, Benfenati A, Naldi G.
europepmc +1 more source