Results 41 to 50 of about 1,130,981 (257)
Spectral inequality and resolvent estimate for the bi-Laplace operator [PDF]
Journal of the European Mathematical Society (Print), 2015 On a compact Riemannian manifold with boundary, we prove a spectral inequality for the bi-Laplace operator in the case of so-called "clamped" boundary conditions , that is, homogeneous Dirichlet and Neumann conditions simultaneously.
J. Rousseau, Luc Robbiano
semanticscholar +1 more source
Geometric characterizations of canal surfaces with Frenet center curves
AIMS Mathematics, 2021 In this work, we study the canal surfaces foliated by pseudo hyperbolic spheres $ \mathbb{H}_{0}^{2} $ along a Frenet curve in terms of their Gauss maps in Minkowski 3-space.
Jinhua Qian +3 more
doaj +1 more source
Laplace and Dirac operators on graphs
Linear and Multilinear Algebra, 2022 Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we introduce several variations of the Laplace and Dirac operators on graphs, and we investigate graph-theoretic versions of the Schr dinger and Dirac equation.
Beata Casiday +4 more
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Hahn Laplace transform and its applications
Demonstratio Mathematica, 2023 Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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A natural Finsler-Laplace operator [PDF]
Israel Journal of Mathematics, 2013 We give a new definition of a Laplace operator for Finsler metric as an average with regard to an angle measure of the second directional derivatives. This definition uses a dynamical approach due to Foulon that does not require the use of connections nor local coordinates.
openaire +4 more sources
Integrative Approaches for DNA Sequence‐Controlled Functional Materials
Advanced Functional Materials, EarlyView.DNA is emerging as a programmable building block for functional materials with applications in biomimicry, biochemical, and mechanical information processing. The integration of simulations, experiments, and machine learning is explored as a means to bridge DNA sequences with macroscopic material properties, highlighting current advances and providing ...
Aaron Gadzekpo +4 more
wiley +1 more source
Droplet Triboelectrification on Liquid‐Like Polymer Brushes
Advanced Functional Materials, EarlyView.This work investigates the triboelectrification of water droplets on polymer brush‐coated surfaces exhibiting minimal contact line pinning. Such surfaces enable the systematic study of electrode patterning and controlled changes in droplet contact area.
Mohammad Soltani +5 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Bio‐based bionic spider silk and spider web are first prepared using polyelectrolyte complexation technique for the simultaneous harvesting of water and triboelectric energy. The advantage of this process lies on entirely bio‐based materials, fully green water‐processable procedures, extremely high production rate (99.36%), excellent fog harvesting ...
Qin Chen +9 more
wiley +1 more source
Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation
Journal of Applied Mathematics, 2012 Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
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The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
, 2016 In this work we study the following singular problem involving the fractional Laplace operator: (Pλ ) { L u = a(x) uγ +λ f (x,u) in Ω; u = 0, in RN \Ω, where Ω ⊂ RN , N 2 be a bounded smooth domain, a ∈C(Ω), λ is a positive parameter and 0 < γ < 1, 2 < r
A. Ghanmi, K. Saoudi
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