General boundary value problem for systems elliptic in the sense of Douglis--Nirenberg in~domains with smooth boundary
Izvestiya. Mathematics , Tome 44 (1995) no. 1, pp. 21-42

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A study is made of a general boundary value problem for systems elliptic in the Douglis–Nirenberg sense with constant real coefficients in domains with smooth boundary. A representation is obtained for regular solutions of these systems by means of solutions of (canonical) elliptic systems, and a formula is given for the index of the problem. Certain boundary value problems for the Stokes system are studied as an illustration.
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     author = {N. A. Zhura},
     title = {General boundary value problem for systems elliptic in the sense of {Douglis--Nirenberg} in~domains with smooth boundary},
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N. A. Zhura. General boundary value problem for systems elliptic in the sense of Douglis--Nirenberg in~domains with smooth boundary. Izvestiya. Mathematics , Tome 44 (1995) no. 1, pp. 21-42. http://geodesic.mathdoc.fr/item/IM2_1995_44_1_a1/