Results 31 to 40 of about 2,700 (198)

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj   +1 more source

Dirichlet heat kernel estimates for rotationally symmetric Lévy processes [PDF]

Proceedings of the London Mathematical Society, 2014
In this paper, we consider a large class of purely discontinuous rotationally symmetric Levy processes. We establish sharp two-sided estimates for the transition densities of such processes killed upon leaving an open set D. When D is a -fat open set, the sharp two-sided estimates are given in terms of surviving probabilities and the global ...
Chen, Zhen-Qing, Kim, Panki, Song, Renming   +2 more
openaire   +2 more sources

Dirichlet Problem for the Schrödinger Operator in a Half Space

Abstract and Applied Analysis, 2012
For continuous boundary data, the modified Poisson integral is used to write solutions to the half space Dirichlet problem for the Schrödinger operator.
Baiyun Su
doaj   +1 more source

Worldline formalism for a confined scalar field

Journal of High Energy Physics, 2019
The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes
Olindo Corradini, James P. Edwards, Idrish Huet, Lucas Manzo, Pablo Pisani   +4 more
doaj   +1 more source

Comparison of Topic Modelling Approaches in the Banking Context

Applied Sciences, 2023
Topic modelling is a prominent task for automatic topic extraction in many applications such as sentiment analysis and recommendation systems. The approach is vital for service industries to monitor their customer discussions.
Bayode Ogunleye, Tonderai Maswera, Laurence Hirsch, Jotham Gaudoin, Teresa Brunsdon   +4 more
doaj   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
wiley   +1 more source

Carleson measures and reproducing kernel thesis in Dirichlet-type spaces [PDF]

St. Petersburg Mathematical Journal, 2013
In this paper, using a generalization of a Richter and Sundberg representation theorem, we give a new characterization of Carleson measures for the Dirichlet-type space $\mathcal D( )$ when $ $ is a finite sum of point masses. A reproducing kernel thesis result is also established in this case.
Chacòn, Gerardo, Fricain, Emmanuel, Shabankhah, Mahmood   +2 more
openaire   +3 more sources

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

Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models

Applied Stochastic Models in Business and Industry, EarlyView.
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco, Mirco Musolesi, Jason O'Sullivan, Rosie Prior, Ioanna Manolopoulou   +4 more
wiley   +1 more source

Infinitely Many Solutions for a Superlinear Fractional p-Kirchhoff-Type Problem without the (AR) Condition

Advances in Mathematical Physics, 2019
In this paper, we investigate the existence of infinitely many solutions to a fractional p-Kirchhoff-type problem satisfying superlinearity with homogeneous Dirichlet boundary conditions as follows: [a+b(∫R2Nux-uypKx-ydxdy)]Lpsu-λ|u|p-2u=gx,u, in  Ω, u=0,
Xiangsheng Ren, Jiabin Zuo, Zhenhua Qiao, Lisa Zhu   +3 more
doaj   +1 more source