Results 91 to 100 of about 3,258,064 (367)
The Sobolev-type equations of the second order with the relatively dissipative operator pencils
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
doaj +3 more sources
A modification of Cauchy's method for quadratic equations
Journal of Mathematical Analysis and Applications, 2008 The plan of this paper is to obtain one-point iterative methods with any R-order of convergence, when they are applied to approximate solutions of quadratic equations in Banach spaces. To do this, we consider real Cauchy's method and, under certain natural modifications, it is extended to Banach spaces. Some applications are also provided.
Ezquerro, J.A. +2 more
openaire +2 more sources
Advanced Science, EarlyView.This study presents a phase‐field model integrating mechanical constraints, solid–solid contact, and large‐strain mechanochemical coupling to characterize lithium deposition and electrolyte cracking. Results show that reducing mechanical constraints, with good electrode–electrolyte contact, suppresses dendrite eruption in cracks and extends battery ...
Chen Lin, Haihui Ruan, Ming‐Sheng Wang
wiley +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2019 In weighted Hölder spaces it is studied the smoothness of integrals, which have the structure and properties of derivatives of volume potentials which generated by fundamental solutions of the Cauchy problem for one ultraparabolic arbitrary order ...
V.S. Dron' +2 more
doaj +1 more source
Cauchy problem for fractional diffusion equations
Journal of Differential Equations, 2004 We consider an evolution equation with the regularized fractional derivative of an order $ \in (0,1)$ with respect to the time variable, and a uniformly elliptic operator with variable coefficients acting in the spatial variables. Such equations describe diffusion on inhomogeneous fractals.
Samuil D. Eidelman, Anatoly N. Kochubei
openaire +3 more sources
Elastic Fiber Programming for Simplified Pneumatic Control in Soft Robots
Advanced Science, EarlyView.This study introduces a novel approach to designing pneumatic soft actuators by leveraging elastic fiber programming to achieve tailored constitutive equations. Using pre‐stretched elastic fibers with varying properties and modurization, the soft robots can demonstrate diverse motions from a single pressure source. This simplifies control systems while
Xiaoli Yang +7 more
wiley +1 more source
, 2018 We derive sufficient conditions for the surjectivity of the Cauchy-Riemann operator $\overline{\partial}$ between spaces of weighted smooth Fr\'echet-valued functions.
Kruse, Karsten
core
The Cauchy problem for the Ishimori equations
Journal of Functional Analysis, 1992 AbstractIn 1984, Y. Ishimori derived a nonlinear wave equation which is a two-dimensional analogue of the classical isotropic spin-chain in ferromagnetism. In this paper we show that the Cauchy problem associated to this equation is well-posed in Sobolev spaces when initial spins are almost parallel.
openaire +2 more sources
Observation of Optical Precursor in Time‐Energy‐Entangled W Triphotons
Advanced Science, EarlyView.This study reports the observation of optical precursors at the triphoton level through the SSWM process. By appropriately adjusting the optical depth (OD), optical precursors are effectively separated from the main wave through utilizing the slow‐light effect to manipulate the triphoton temporal correlations in the group delay regime.
Zhou Feng +5 more
wiley +1 more source
On a quadratic type functional equation on locally compact abelian groups
Acta Universitatis Sapientiae: Mathematica, 2018 Let (G,+) be a locally compact abelian Hausdorff group, 𝓀 is a finite automorphism group of G, κ = card𝒦 and let µ be a regular compactly supported complex-valued Borel measure on G such that μ(G)=1κ$\mu ({\rm{G}}) = {1 \over \kappa }$.
Dimou Hajira +3 more
doaj +1 more source