Geodesic
On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 457-479

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The question of validity of the classical maximum principle is considered for strongly elliptic and parabolic second order systems with constant coefficients. Bibliography: 14 titles. 
@article{SM_1986_53_2_a10,
     author = {V. G. Maz'ya and G. I. Kresin},
     title = {On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients},
     journal = {Sbornik. Mathematics},
     pages = {457--479},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_2_a10/}
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V. G. Maz'ya; G. I. Kresin. On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients. Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 457-479. http://geodesic.mathdoc.fr/item/SM_1986_53_2_a10/