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A remark about elliptic overdeterminated systems. (English) Zbl 0411.35020

MSC:

35E20 General theory of PDEs and systems of PDEs with constant coefficients
35N05 Overdetermined systems of PDEs with constant coefficients
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References:

[1] A. Ayantaggiati , Sulle matrici fond. princ. per una classe di sistemi differenziali ellittici ed ipoellittici , Ann. di Mat. 1964 . Zbl 0123.07501 · Zbl 0123.07501 · doi:10.1007/BF02418226
[2] C. Lech , A metric propriety of the zeros of a complex polynomial ideal , Ark. Mat. 3 , No. 6 , 1958 . MR 104789 | Zbl 0095.25904 · Zbl 0095.25904 · doi:10.1007/BF02589516
[3] L. Hormander , Differentibility proprieties of solution of systems of differential equations , Ark. Mat. 3 , No. 50 , 1958 . MR 104923 | Zbl 0131.09503 · Zbl 0131.09503 · doi:10.1007/BF02589514
[4] V.P. Palomodov , Linear Differential Operators With Constant Coefficients , Springer-Verlag , 1970 . MR 264197 | Zbl 0191.43401 · Zbl 0191.43401
[5] I.G. Petrovski , Sur l’analycité des systems d’équations differentielles , Mat. Sb. 5 ( 47 ), No. I , 1939 .
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