1,762 research outputs found
Schauder estimates for fully nonlinear elliptic difference operators
No full textIn this paper, we are concerned with discrete Schauder estimates for solutions of fully nonlinear elliptic difference equations. Our estimates are discrete versions of second derivative Holder estimates of Evans, Krylov and Safonov for fully nonlinear elliptic partial differential equations. They extend previous results of Holt by for the special case of functions of pure second-order differences on cubic meshes. As with Holtby's work, the fundamental ingredients are the pointwise estimates of Kuo-Trudinger for linear difference schemes on general meshes
Nabootsing N.S. baansignaleringssysteem: Deel I : Ontvanger schakeling
No full textBij de N.S. bestaat behoefte om te beschikken over een nabootser van het transmissie systeem voor de overdracht van signaleringen en commando's (het N.S. Quiktrol-systeem). Dit verslag beschrijft de realisering van een dergelijke nabootser, m.b.v. een M6800 microprocessor en dan vooral de ontvanger schakeling.Applied SciencesElectrotechniekLaboratorium voor automatische verkeerssysteme
Sharp generalized Trudinger inequalities via truncation for embedding into multiple exponential spaces
No full textsummary:We prove that the generalized Trudinger inequality for Orlicz-Sobolev spaces embedded into multiple exponential spaces implies a version of an inequality due to Brézis and Wainger
Stationary solutions for the Cahn-Hilliard equation
No full textWe study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary
has a nongenerate critical point. Then we show that there exists a spike-like stationary solution whose global maximum lies on the boundary. Our method is based on Lyapunov-Schmidt reduction and the Brouwer fixed-point theorem
Mutually exclusive spiky pattern and segmentation modelled by the five-component meinhardt-gierer system
No full textWe consider the five-component Meinhardt-Gierer
model for mutually exclusive patterns and
segmentation. We
prove rigorous results on the existence and
stability of mutually exclusive spikes which are
located in different positions for the two
activators.
Sufficient conditions for existence and stability
are derived, which depend in particular on the
relative size of the various diffusion constants.
Our main analytical methods are the
Liapunov-Schmidt reduction
and nonlocal eigenvalue problems. The analytical
results are confirmed by numerical simulations
LITERARY TEXTBY N.S. LESKOV AS A SYSTEM OF LANGUAGE MEANS
No full textThe article gives a linguistic and stylistic analysis of N.S. Leskov’s fiction. One of the main ambitions of the author is to reveal the possible correlation between the language features of N.S. Leskov’s heroes and the Russian cultural tradition of the past. Some original and vivid examples of the speech of representatives of specific Russian professions and estates are analyzed as well as linguistic parallels between complicated church language and the writer’s system of stylistic devices are defined. We show new interlinks between historic, linguistic and literary aspects of the text and especially N.S. Leskov’s unusual world as a form of culturally-historically determined consciousness. We pay special attention to Old Slavonic «experiment» in Leskov’s texts and skaz , polyphony of names of his heroes and writers’ examples of folk etymology. We came to the conclusion that in The Notes of the Unknown different stylistic and linguistic devices are combined
Local Estimates for Parabolic Difference Operators
No full textAbstractWe prove a local maximum principle and weak Harnack inequality for parabolic difference inequalities analogous to previous work on elliptic difference inequalities. As applications, we have discrete analogues of the Hölder and Harnack estimates of Krylov and Safonov and results pertaining to the stability of discrete scheme for nonlinear parabolic problems, extending previous work on elliptic equations
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