Results 51 to 60 of about 110,294 (285)

Resonance-free Region in scattering by a strictly convex obstacle

, 2012
We prove the existence of a resonance free region in scattering by a strictly convex obstacle with the Robin boundary condition. More precisely, we show that the scattering resonances lie below a cubic curve which is the same as in the case of the ...
A. Cordoba, A. Martinez, B. Lascar, B. R. Vainberg, C. Bardos, C. S. Morawetz, E. Balslev, G. Folland, G. Lebeau, G. N. Watson, G. Popov, J. Aguilar, J. Sjöstrand, J. Sjöstrand, J. Sjöstrand, J. Sjöstrand, J. Sjöstrand, J. Sjöstrand, J. Sjöstrand, J. Wunsch, J.-M. Delort, L. Hörmander, Long Jin, M. Zworski, P. Lax, P. Stefanov, R. B. Melrose, S.-H. Tang, T. Hargé   +28 more
core   +1 more source

A Stochastic Conservation Law with Nonhomogeneous Dirichlet Boundary Conditions [PDF]

Acta Mathematica Vietnamica, 2015
This paper discusses the initial-boundary value problem (with a nonhomogeneous boundary condition) for a multi-dimensional scalar first-order conservation law with a multiplicative noise. One introduces a notion of kinetic formulations in which the kinetic defect measures on the boundary of a domain are truncated.
Kobayasi, Kazuo, Noboriguchi, Dai
openaire   +3 more sources

Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics

Advanced Intelligent Discovery, EarlyView.
Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong, Zijian Huang, Xuanwu Wang, Zhenghui Feng, Wei Liu, Bingding Huang   +5 more
wiley   +1 more source

On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems

International Journal of Mathematics and Mathematical Sciences, 2012
We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.
Blaise Kone, Stanislas Ouaro
doaj   +1 more source

Casimir pistons with hybrid boundary conditions

, 2007
The Casimir effect giving rise to an attractive or repulsive force between the configuration boundaries that confine the massless scalar field is reexamined for one to three-dimensional pistons in this paper.
H. B. G. Casimir, Xiang-hua Zhai, Xin-zhou Li   +2 more
core   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable

Discrete Dynamics in Nature and Society, 2020
The initial-boundary value problem of a porous medium equation with a variable exponent is considered. Both the diffusion coefficient ax,t and the variable exponent px,t depend on the time variable t, and this makes the partial boundary value condition ...
Huashui Zhan
doaj   +1 more source

A mixed method for Dirichlet problems with radial basis functions

, 2013
We present a simple discretization by radial basis functions for the Poisson equation with Dirichlet boundary condition. A Lagrangian multiplier using piecewise polynomials is used to accommodate the boundary condition.
Heuer, Norbert, Tran, Thanh
core   +1 more source

Disentangling Aleatoric and Epistemic Uncertainty in Physics‐Informed Neural Networks: Application to Insulation Material Degradation Prognostics

Advanced Intelligent Systems, EarlyView.
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez, Jokin Alcibar, Joel Pino, Mikel Sanz, Jose I. Aizpurua   +4 more
wiley   +1 more source