Results 41 to 50 of about 927,941 (284)

A null controllability problem with a finite number of constraints on the normal derivative for the semilinear heat equation

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We consider the semilinear heat equation in a bounded domain of $\mathbb{R}^m$. We prove the null controllability of the system with a finite number of constraints on the normal derivative, when the control acts on a bounded subset of the domain.
Carole Louis-Rose
doaj   +1 more source

A note on the necessity of filtering mechanism for polynomial observability of time-discrete wave equation

Karpatsʹkì Matematičnì Publìkacìï, 2017
The problem of uniform polynomial observability was recently analyzed. It is shown that, when the continuous model is uniformly polynomially observable, it is sufficient to filter initial data to derive uniform polynomial observability inequalities for ...
Z. Hajjej
doaj   +1 more source

Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges

Advanced Functional Materials, EarlyView.
Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley   +1 more source

Observability inequality for the spatial discretization of weakly coupled 2d-wave equations

Demonstratio Mathematica
This study addresses the problem of indirect boundary observability for a spatial semi-discretization of weakly coupled two-dimensional wave equations. The discretization is performed using a finite difference method on a uniform mesh. More specifically,
Beljadid Lahcen, Belkanoufi Radoine, Elayboudi Abderrahim   +2 more
doaj   +1 more source

An observation on the Turán–Nazarov inequality

Studia Mathematica, 2013
The main observation of this note is that the Lebesgue measure $\mu$ in the Tur\'an-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant $\omega \ge \mu$, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets.
Friedland, Omer, Yomdin, Yosef
openaire   +2 more sources

Why Didn't I Get a Payout? Understanding Farmer Choices, Index Insurance, and Basis Risk

Applied Economic Perspectives and Policy, EarlyView.
ABSTRACT Index insurance, while heralded as a potential solution to alleviate poverty and food insecurity among agricultural households, has its own set of challenges, notably basis risk. Basis risk is the discrepancy between the insurance payout and losses incurred, posing a significant deterrent to the adoption of index insurance.
S. Lucille Blakeley, Sean Posey, Kathy Baylis, Daniel Osgood, Stuart Sweeney   +4 more
wiley   +1 more source

Observability Estimate for the Fractional Order Parabolic Equations on Measurable Sets

Abstract and Applied Analysis, 2014
We establish an observability estimate for the fractional order parabolic equations evolved in a bounded domain Ω of ℝn. The observation region is F×ω, where ω and F are measurable subsets of Ω and (0,T), respectively, with positive measure.
Guojie Zheng, M. Montaz Ali
doaj   +1 more source

Carleman estimate for Maxwell's equations in anisotropic media and the observability inequality

, 2005
We establish a Carleman estimate for two-dimensional Maxwell's equations in isomagnetic anisotropic media and prove an energy estimate by boundary data.
Shumin Li, Masahiro Yamamoto
semanticscholar   +1 more source

Observability and unique continuation inequalities for the Schrödinger equation [PDF]

Journal of the European Mathematical Society (Print), 2016
In this paper, we present several observability and unique continuation inequalities for the free Schrodinger equation in the whole space. The observations in these inequalities are made either at two points in time or one point in time.
GengshengBB Wang, Ming Wang, Yubiao Zhang   +2 more
semanticscholar   +1 more source

Food Tastes in the United States: Convergence or Divergence?

Agribusiness, EarlyView.
ABSTRACT This study investigates how food consumption tastes have changed in recent decades across the United States. Using NielsenIQ data for over 77 million transactions, there is evidence of divergence in food tastes across regions from 2007 to 2016 and across households of different income, education, and race/ethnicity groups.
Michael DeDad
wiley   +1 more source