Results 141 to 150 of about 618,259 (179)
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2003
Abstract A priori estimates play a decisive role in the analysis of any nonlinear problem. They determine the class of functions, where the solutions are looked for. A priori estimates resulting from the basic physical principles — conservation (or balance) of mass, momentum, and energy — are discussed.
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Abstract A priori estimates play a decisive role in the analysis of any nonlinear problem. They determine the class of functions, where the solutions are looked for. A priori estimates resulting from the basic physical principles — conservation (or balance) of mass, momentum, and energy — are discussed.
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A Priori Wire Length Estimation
2001This chapter presents an overview of wire length estimation models. Donath’s pioneering hierarchical placement model [Don79] will be described in the second section and its resulting average wire length estimations will be evaluated.
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A priori estimates for harmonic mappings
Analysis, 2007SummaryWe give a new proof of a well known regularity result for harmonic mappings between Riemannian manifolds due to Giaquinta and Hildebrandt [3]. The proof uses a modification of a method due to L. Caffarelli [2] to show interior and boundary Hölder-continuity of harmonic mappings, whose images lie in a regular ball.
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Some a priori estimates in mechanics
Russian Physics Journal, 1992The scope for quantitative a priori estimators is considered and some of the input data are of probabilistic type subject to given constraints. Corresponding estimates are given for the stability of a rod with initial imperfections on pulsed loading, boundary-value problems for a planar potential, and topics in planar elasticity; these relate the ...
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A Priori Estimates for Prescribing Scalar Curvature Equations
The Annals of Mathematics, 1997This is a remarkable paper in the study of scalar curvature equations. There are two important contributions in this paper. One is that they use the Kelvin transform and the maximum principle to derive estimates on solutions in the region where the prescribed scalar curvature is negative.
Chen, Wenxiong, Li, Congming
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A priori weighting for parameter estimation
Journal of Inverse and Ill-posed Problems, 2008The author considers parameter estimation as an element of inverse modelling in which measurements (data) are used to infer the parameters in a mathematical model. He assumes that parameter estimation can be viewed as an optimization problem in which the objective function representing the data misfit is minimized in a given norm.
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Existence of EMS Solutions and a Priori Estimates
SIAM Journal on Matrix Analysis and Applications, 1995The author establishes the solvability of the nonlinear EMS (estimate, maximize, smooth) equations in the nonnegative quadrant by use of the Brouwer fixed point theorem and a priori estimates from the Perron- Frobenius theory. Existence of solutions and an a priori estimate are also proven for a generalization of the EMS equations.
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Estimation of functionals in an a priori density
Journal of Soviet Mathematics, 1988We are concerned with the estimation of linear and quadratic functionals of the form \[ (1)\quad \Phi (g)=\int_{\Theta}\phi (\theta)g(\theta)\mu (d\theta),\quad and\quad (2)\quad \Omega (g)=\int_{\Theta}\omega (\theta)g^ 2(\theta)\mu (d\theta) \] in an unknown a priori density. One of the methods for obtaining the desired estimates is to estimate first
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A priori sharp estimates for minimizers
1993The problem discussed is a classical problem of calculus of variations: \[ \begin{cases} J(w)= \int_G \{a(x, Dw)+ b(x, w)\}dx\to \min\\ \text{with } w(x)= g(x)\text{ on }\partial G,\end{cases}\tag{1.1} \] (\(Dw\) is the gradient). The authors consider the class of such problems where rates of growth of the functions \(a\) and \(b\) are given and the ...
CIANCHI, ANDREA, R. SCHIANCHI
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Multilateration Using A Priori Position Estimates
IEEE Transactions on Radar Systems, 2023Eric Widdison, David G. Long
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