Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
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An improved MobileNet based on a modified poor and rich optimization algorithm for lithium-ion battery state-of-health estimation. [PDF]
Hajlaoui R +3 more
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Analysis of Models to Estimate Morbidity Rates of Respiratory Diseases Through Deep Learning
ABSTRACT Respiratory diseases remain a challenge in Brazil due to socioeconomic inequalities and environmental risks that intensify population vulnerability. This study compared XGBoost with a deep learning model using stacked Gated Recurrent Units (GRU), trained with morbidity data from respiratory diseases and exogenous variables such as per capita ...
Liliane Moreira Nery +6 more
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Diabetic retinopathy detection based on mobile maxout network and weber local descriptor feature selection using retinal fundus image. [PDF]
Sheejakumari V +7 more
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Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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Second-order asymptotics of fractional Gagliardo seminorms as s → 1 - and convergence of the associated gradient flows. [PDF]
Kubin A, Pagliari V, Tribuzio A.
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Multipliers on bi-parameter Haar system Hardy spaces. [PDF]
Lechner R +3 more
europepmc +1 more source
Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
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Comprehensive brain tumour concealment utilizing peak valley filtering and deeplab segmentation. [PDF]
Pradeep Kumar BP +3 more
europepmc +1 more source

