Results 11 to 19 of about 19 (19)
Quantitative functional calculus in Sobolev spaces
Journal of Function Spaces, Volume 2, Issue 3, Page 279-321, 2004., 2004 In the frame work of Sobolev (Bessel potential) spaces Hn(Rd, R or C), we consider the nonlinear Nemytskij operator sending a function x ∈ Rd ↦ f(x) into a composite function x ∈ Rd ↦ G(f(x), x). Assuming sufficient smoothness for G, we give a “tame” bound on the Hn norm of this composite function in terms of a linear function of the Hn norm of f, with
Carlo Morosi +2 more
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On Gromov′s theorem and L 2‐Hodge decomposition
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 1, Page 25-44, 2004., 2004 Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace‐type operators on Riemannian vector bundles. Consequently, explicit upper bounds are obtained for the dimension of the corresponding L 2‐harmonic sections.
Fu-Zhou Gong, Feng-Yu Wang
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On the geometry of Riemannian manifolds with a Lie structure at infinity
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 4, Page 161-193, 2004., 2004 We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. We also prove that the geometric operators are generated by the given Lie algebra of vector fields.
Bernd Ammann +2 more
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Lone Pair and Unique N‐Bridging of Novel Titanium Nitridophosphate
Advanced Science, Volume 12, Issue 13, April 3, 2025.The analysis provides a comprehensive understanding of the structural stability and electronic factors that govern the bandgap, charge carrier mobility, and photovoltaic performance of novel titanium nitridophosphate (TiP4N8). Abstract In exploring advanced materials for solar power, the novel titanium nitridophosphate (TiP4N8) stands out due to its ...
Peter Ufondu +5 more
wiley +1 more source
An Analytical Study of Smooth Solutions of the Bløtekjær Hydrodynamic Model of Electron Transport
VLSI Design, Volume 15, Issue 4, Page 729-742, 2002., 2002 We study the Bløtekjær hydrodynamic model from the standpoint of local well‐posedness. We employ analytical methods, originally introduced by T. Kato for complex systems, to obtain the existence of unique local smooth solutions of the Cauchy problem, with smooth initial data. The time interval is invariant with respect to vanishing heat flux. The model
Joseph W. Jerome
wiley +1 more source
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 4, April 2025.Abstract A new, complete three‐moment bulk microphysics approach is proposed that includes the effects of all relevant microphysical processes on the evolution of ice particle size distribution (PSD) width. This extends the three‐moment approach that was originally implemented in the Predicted Particle Properties (P3) scheme that assumed sedimentation ...
Hugh Morrison +2 more
wiley +1 more source
Foundations for Applications of Gibbs Derivatives in Logic Design and VLSI
VLSI Design, Volume 14, Issue 1, Page 65-81, 2002., 2002 New technologies and increased requirements for performances of digital systems require new mathematical theories and tools as a basis for future VLSI CAD systems. New or alternative mathematical approaches and concepts must be suitable to solve some concrete problems in VLSI and efficient algorithms for their efficient application should be provided ...
Radomir S. Stanković +2 more
wiley +1 more source
Existence of Solutions of a Class of Abstract Second Order Nonlinear Integrodifferential Equations
International Journal of Stochastic Analysis, Volume 15, Issue 2, Page 115-124, 2002., 2002 In this paper we prove the existence of solutions of nonlinear second order integrodifferential equations in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of operators and the Schaefer fixed point theorem.
K. Balachandran, J. Y. Park
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Filtering and predicting the cost of hidden perished items in an inventory model
International Journal of Stochastic Analysis, Volume 15, Issue 3, Page 235-245, 2002., 2002 This paper is concerned with a discrete time, discrete state inventory model for items of changing quality. Items are assumed to be in one of a finite number, M, of quality classes that are ordered in such a way that Class 1 contains the best quality and the last class contains the pre‐perishable quality.
Lakhdar Aggoun, Lakdere Benkherouf
wiley +1 more source