Results 91 to 100 of about 9,396 (291)
Fast propagation for nonlocal delay equations with slowly decaying initial values
Electronic Journal of Differential Equations, 2012 This article concerns the long time behavior of solutions to nonlocal delay equations when the initial values decay slowly at infinity towards the unstable steady state.
Fuguo Zhu
doaj
Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
Decay rates of magnetoelastic waves in an unbounded conductive medium
Electronic Journal of Differential Equations, 2011 We study the uniform decay of the total energy of solutions for a system in magnetoelasticity with localized damping near infinity in an exterior 3-D domain.
Ruy Coimbra Charao +2 more
doaj
Uniqueness of solutions to an elliptic inequality with rapid decay at infinity
We consider an elliptic differential inequality: $\vert Δu(x) \vert \le C_0(\YYYY^{-γ}\vert u(x)\vert + \YYYY^{-θ}\vert \nabla u(x)\vert)$ in an exterior domain $\R^n \setminus \ooo{U}$, where $U$ is a simply connected bounded domain $U$, $x := (y,z) \in \R^n$ with $y \in \R^m$ and $z\in \R^{n-m}$ for given $m\in \{ 1, ..., n\}$, and $γ, θ\in \R$ are ...
Golgeleyen, F. +2 more
openaire +2 more sources
Advanced Optical Materials, EarlyView.Multimodal perovskite nanocrystals enable optical thermometry across multiple excitation and emission regimes, spanning the UV–Vis–NIR spectral range. By combining upconversion, downshifting, and persistent luminescence, the platform bridges conventional Boltzmann and non‐Boltzmann thermometric approaches.
Adrian Drozdowski +2 more
wiley +1 more source
The Poisson equation on Riemannian manifolds with a weighted Poincarà © inequality at infinity.
, 2019 We prove an existence result for the Poisson equation on non-compact Riemannian manifolds satisfying a weighted Poincar\'e inequality outside a compact set.
Monticelli, Dario
core
Breakdown for the Camassa-Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
, 2011 International audienceWe exhibit a sufficient condition in terms of decay at infinity of the initial data for the finite time blowup of strong solutions to the Camassa--Holm equation: a wave breaking will occur as soon as the initial data decay faster at
Lorenzo Brandolese, Brandolese, Lorenzo
core +1 more source
Nonlocal heat equations: Regularizing effect, decay estimates and Nash inequalities [PDF]
, 2018 We study the short and large time behaviour of solutions of nonlocal heat equations of the form ∂tu+Lu=0. Here L is an integral operator given by a symmetric nonnegative kernel of Lévy type, that includes bounded and unbounded transition probability ...
Pablo Martínez, Arturo de +1 more
core +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Decay of extremals of Morrey’s inequality
We study the decay (at infinity) of extremals of Morrey’s inequality in Rn. These are functions satisfying (Formula Presented) where p>n and C(p, n) is the optimal constant in Morrey’s inequality.
Hynd, Ryan +4 more
core +1 more source