On the definition of ellipticity for systems of partial differential equations. (English) Zbl 0746.35012

The paper is devoted to the study of ellipticity of partial differential equations and systems. In particular the author studies the relationship between the concepts introduced by A. Douglis and L. Nirenberg [Commun. Pure Appl. Math. 8, 503–538 (1955; Zbl 0066.08002)] and by M. H. Protter [Pitman Res. Notes Math., Ser. 175, 68–81 (1988; Zbl 0669.35031)].


35J56 Boundary value problems for first-order elliptic systems
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