Chill, Bounded convolutions and solutions of inhomogeneous Cauchy problems, Forum Math. 11 (1999), 253-277.C. J. K. Batty, R. Chill, Bounded convolutions and solutions of inhomogeneous Cauchy problems, Forum. Math. 11, No.2, 253-277, (1999)....
Our result generalizes the existing ones for the Schrödinger–Poisson equations and Choquard equations, and seems to be the first result of such radial solutions for an equation with two competing convolution terms. Besides, we show that the degeneracy for this existence result happens for p<2....
Forests are invaluable resources, and fire is a natural process that is considered an integral part of the forest ecosystem. Although fire offers several ecological benefits, its frequent occurrence in different parts of the world has raised concerns in
Résumé Soient (ΩiO≤i≤2et (Ω′i)O≤i≤2des ouverts bornés ℝntelles que Ω1⊂ ⊂ Ω2, Ωo= Ω2\Ω1, Ω′1⊂⊂ Ω′2et Ω′o= Ω2−, Soient r≥2 et Ω′1, soient r≥2 et (uj)1≤j≤r, r distributions à support compact dans ℝn, telles que pour to...
In a study (Wilson, Hargrave, Mitra, Shieh, & Roberson, 1998) to detect microcalcifications early, the convolution technique was used in the image enhancement process, which can solve the problems caused by low contrast. In the study, the places where calcium deposits occur were sought to be...
(Dosovitskiy et al.2020). The unique self-attention mechanism of ViT provides an unparalleled performance in extracting global features from its input. Since CNN is known for its local feature learning property, combining their individual strengths can help address some of the existing problems, ...
Now let’s assume that you try to solve this problem with a CNN followed by a fully-connected layer (as used in most models for image classification). You will run into several problems: A very high number of parameters. Lost spatial features of the image. Suppose the input image is of...
conducting extensive biological experiments to screen potential microbe-disease associations becomes challenging. The computational methods can solve the above problems well, but the previous computational methods still have the problems of low utilization of node features and the prediction accuracy needs to...
Ground state solutions of Nehari–Pohoz̆aev type for Schrödinger–Poisson problems with general potentials Discrete Contin. Dyn. Syst., 37 (2017), pp. 4973-5002 CrossrefView in ScopusGoogle Scholar [39] X.H. Tang, S.T. Chen Ground state solutions of Nehari–Pohoz̆aev type for Kir...
Recently, also transformer-based architectures have been applied to point clouds with promising results [35], [36]. In our work, we do not consider these operators since we focus on defining more flexible point-convolutional layers, which are building blocks for several deep-learning solutions ...