Results 271 to 280 of about 165,815 (307)

A Priori Estimates

2011
In this chapter we obtain a priori estimates for elliptic operators in bounded or unbounded domains. We will use the spaces of functions introduced in Chapter 2.
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On an A Priori Estimate for Solutions of an Elliptic Equation

Mathematische Nachrichten, 1994
AbstractIn the investigation of the spectral theory of non‐selfadjoint elliptic boundary value problems involving an indefinite weight function, there arises the problem of obtaining Lp a priori estimates for solutions about points of discontinuity of the weight function. Here we deal with this problem for the case where the weight function vanishes on
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A Note on a priori Estimations of Classification Circuit Complexity

Fundamenta Informaticae, 2010
The paper aims at tight upper bounds on the size of pattern classification circuits that can be used for a priori parameter settings in a machine learning context. The upper bounds relate the circuit size S(C) to n L := [log 2 m L
Andreas Alexander Albrecht, Alexander V. Chaskin, Costas S. Iliopoulos, Oktay M. Kasim-Zade, Georgios Lappas, Kathleen Steinhöfel   +5 more
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The a priori Estimate for the Gradient

1984
In this section we shall be concerned with smooth solutions of the minimal surface equation $${D_i}\left( {\frac{{{D_i}u}}{{\sqrt {1 + {{\left| {Du} \right|}^2}} }}} \right) = 0$$ (13.1) in a ball ℬ ⊂ ℝ n .
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A priori weighting for parameter estimation

Journal of Inverse and Ill-posed Problems, 2008
The 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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A priori estimates for harmonic mappings

Analysis, 2007
SummaryWe 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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On A Priori Estimates for Rough PDEs

2017
In this note, we present a new and simple method which allows to get a priori bounds on rough partial differential equations. The technique is based on a weak formulation of the equation and a rough version of Gronwall’s lemma. The method is presented on a simple linear example, but might be generalized to a wide number of situations.
Qi Feng, Samy Tindel
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A priori sharp estimates for minimizers

1993
The 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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A PRIORI ESTIMATES

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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A Priori estimates for difference equations

USSR Computational Mathematics and Mathematical Physics, 1962
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