Publikation: Necessity of parameter-ellipticity for multi-order systems of differential equations
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2011
Autor:innen
Faierman, Melvin
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Zusammenfassung
In this paper we investigate parameter-ellipticity conditions for multi-order systems of differential equations on a bounded domain. Under suitable assumptions on smoothness and on the order structure of the system, it is shown that parameter-dependent a priori-estimates imply the conditions of parameter-ellipticity, i.e., interior ellipticity, conditions of Shapiro-Lopatinskii type, and conditions of Vishik-Lyusternik type. The mixed-order systems considered here are of general form; in particular, it is not assumed that the diagonal operators are of the same order. This paper is a continuation of an article by the same authors where the sufficiency was shown, i.e., a priori-estimates for the solutions of parameter-elliptic multi-order systems were established.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Parameter-elliptisch, a priori Abschätzung, parameter-elliptic, a priori-estimate
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undefined / . - undefined, undefined
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DENK, Robert, Melvin FAIERMAN, 2011. Necessity of parameter-ellipticity for multi-order systems of differential equationsBibTex
@techreport{Denk2011Neces-12344,
year={2011},
series={Konstanzer Schriften in Mathematik},
title={Necessity of parameter-ellipticity for multi-order systems of differential equations},
number={278},
author={Denk, Robert and Faierman, Melvin}
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