Results 91 to 100 of about 1,215,177 (342)
Optimal control for cooperative systems involving fractional Laplace operators
In this work, the elliptic 2 × 2 $2\times 2$ cooperative systems involving fractional Laplace operators are studied. Due to the nonlocality of the fractional Laplace operator, we reformulate the problem into a local problem by an extension problem. Then,
H. M. Serag+2 more
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An Al2O3‐skinned starburst porous graphene with conformal metasurfaces is crafted from a hierarchical porous graphene with high surface pore curvature by PTFE microemulsion skin effect, leveraging subsequent atomic layer deposition of Al2O3 groups. The scalable heterostructured cathode features superhydrophilicity, effective adsorption, fast kinetics ...
Zhuo Yang+10 more
wiley +1 more source
Laplace operator based multi-channel image filters learning
Learning an image filter from a pair of images composed of an original image and its filtered version has attracted increasing attention in the image processing region.
Yantao LIU+4 more
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On localisation of eigenfunctions of the Laplace operator
We prove (i) a simple sufficient geometric condition for localisation of a sequence of first Dirichlet eigenfunctions provided the corresponding Dirichlet Laplacians satisfy a uniform Hardy inequality and (ii) localisation of a sequence of first Dirichlet eigenfunctions for a wide class of elongating horn-shaped domains.
Michiel van den Berg, Dorin Bucur
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Eigenvalues of the fractional Laplace operator in the interval
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (-d^2/dx^2)^(alpha/2) (0 < alpha < 2) in the interval (-1,1) is given: the n-th eigenvalue is equal to (n pi/2 - (2 - alpha) pi/8)^alpha + O(1/n). Simplicity of eigenvalues is proved for alpha in [1, 2).
Mateusz Kwaśnicki, Mateusz Kwaśnicki
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This study deciphers maternal‐driven microbial transmission in pigs using a deep learning model (maternal–offspring microbial transmission model), identifying Christensenellaceae R‐7 group as a key transmitted taxon. Filtered galacto‐oligosaccharides‐targeted Christensenellaceae R‐7 group alters offspring microbial functions via maternal ...
Haibo Shen+9 more
wiley +1 more source
On the p-Laplace operator on Riemannian manifolds [PDF]
This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets of (2-)harmonic functions.
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A Wearable AI‐Driven Mask with Humidity‐Sensing Respiratory Microphone for Non‐Vocal Communication
A wearable, plug‐and‐play respiratory microphone—featuring a gold nanoparticle‐based humidity sensor—facilitates voice‐free verbal communication for patients with impaired vocal fold function. Abstract Hoarseness and dysphonia caused by vocal cord conditions or laryngeal surgeries significantly hinder communication and quality of life.
Jianfei Wang+8 more
wiley +1 more source
A printable, self‐healing, stretchable, and highly conductive ink with pressure‐activated adhesive properties is designed by incorporation of liquid metal microparticles and carboxyl‐functionalized carbon nanotubes into a bimodal supramolecular elastomer.
Ahmed Albeltagi+9 more
wiley +1 more source
COMPARATIVE STUDY FOR EDGE DETECTION OF NOISY IMAGE USING SOBEL AND LAPLACE OPERATORS
Many approaches of different complexity already exist to edge detection in color images. Nevertheless, the question remains of how different are the results when employing computational costly techniques instead of simple ones.
Instructor Sameera A. Abdul-Kader Asst. lecturer Aadel I. Khalil
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