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.
@article{IM2_1995_44_1_a1,
author = {N. A. Zhura},
title = {General boundary value problem for systems elliptic in the sense of {Douglis--Nirenberg} in~domains with smooth boundary},
journal = {Izvestiya. Mathematics },
pages = {21--42},
publisher = {mathdoc},
volume = {44},
number = {1},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1995_44_1_a1/}
}
TY - JOUR AU - N. A. Zhura TI - General boundary value problem for systems elliptic in the sense of Douglis--Nirenberg in~domains with smooth boundary JO - Izvestiya. Mathematics PY - 1995 SP - 21 EP - 42 VL - 44 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1995_44_1_a1/ LA - en ID - IM2_1995_44_1_a1 ER -
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/