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On the Multifractal Formalism of Lyapunov Exponents: A Survey of Recent Results
We survey a collection of results in the multifractal analysis for the topological entropy of the level sets of Lyapunov exponents. We discuss the...
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An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains
We prove an existence result for the fractional Kelvin–Voigt’s model involving Caputo’s derivative on time-dependent cracked domains. We first show...
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Existence and uniqueness result for nonlinear anisotropic elliptic unilateral problems with variable exponent and measure data
This paper treats the existence and uniqueness of entropy solutions for the unilateral problem associated with the Dirichlet problem of the following...
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A Sensitivity Result for Quadratic Second-Order Cone Programming and its Application
In this paper, we present a sensitivity result for quadratic second-order cone programming under the weak form of second-order sufficient condition....
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A closure result for differential forms in the context of superdensity, approximation of measurable functions by density-degree functions
Some properties of m -density points and density-degree functions are studied. Moreover, the following main results are provided:
Let
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A Survey on the Recent Advances in the Spectral Theory on the S-Spectrum
The aim of this paper is to give an overview on recent results involving function theory, functional calculi and operator theory based on the...
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A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier–Lebesgue Spaces
We study the well-posedness of the complex-valued modified Korteweg-de Vries equation (mKdV) on the circle at low regularity. In our previous work...
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Multimodal Deep Learning for Manufacturing Systems: Recent Progress and Future Trends
The development of sensing technology provides large amounts and various types of data (e.g., profile, image, point cloud) to describe each stage of...
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On Some Recent Results from the Theory of MHD Equations
This chapter shows the main ideas of the derivation of the MHD and Hall–MHD equations (Sect. 1) and provides a brief survey of qualitative properties...
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Recent results for the Landau–Lifshitz equation
We give a survey on some recent results concerning the Landau–Lifshitz equation, a fundamental nonlinear PDE with a strong geometric content,...
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A Blow-Up Result for a Generalized Tricomi Equation with Nonlinearity of Derivative Type
In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., for the equation
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Recent Advances in Sphere Packing Problems
We consider a general (constrained) sphere packing problem which is to pack nonoverlap** spheres (balls) with the maximum volume into a convex set....
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Existence result for Neumann problems with p(x)-Laplacian-like operators in generalized Sobolev spaces
The paper studies the existence of a weak solutions for Neumann problems with p ( x )-Laplacian-like operators, originated from a capillary phenomena,...
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Recent Approaches for Image Colorization
In the last years, image and video colorization has been considered from many points of view. The technique consists of the addition of a color...
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Global Existence Result of Solutions for a Riser Equation with Logarithmic Source Term and Dam** Term
This work deals with the influence of the logarithmic source term on solutions to quasilinear riser equation with nonlinear dam** term. We...
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Some Recent Fixed Point Results in \(S_b-\) Metric Spaces and Applications
In this study, we review various outcomes of contraction map** in the \(S_b-\)...