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Svensson, S. L.

Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part. (English) Zbl 0203.40903

Ark. Mat. 8, 145-162 (1970).
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Cited in 36 Documents
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[2] Friberg, J., Principal parts and canonical factorisation of hypoelliptic polynomials in two variables. Rend. Sem. Mat. Univ. Padova,37, 112–132 (1967). · Zbl 0168.07802
[3] Gorin, E. A., Asymptotic properties of polynomials and algebraic functions of several variables. Uspehi Mat. Nauk. (N.S.),16, No. 1, 93–119 (1961). (Russian; English translation in Russian Mathematical Surveys.) · Zbl 0102.25401
[4] Gårding, L., Linear hyperbolic partial differential equations with constant coefficients. Acta Math.,85, 1–62 (1950). · Zbl 0045.20202 · doi:10.1007/BF02395740
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[9] McCarthy, C. A., andPederson, R. N., Many sufficient conditions for a polynomial to be hyperbolic. Research report 1966, Dept. of Math., Carnegie Inst. of Technology, Pittsburgh, Penn.
[10] Pederson, R. N., A necessary condition for hyperbolicity of polynomials with constant coefficients. Research report 1966, Carnegie Inst. of Technology, Pittsburgh, Penn.
[11] Petrowsky, I. G., Über das Cauchysche Problem für ein System linearer partieller Differentialgleichungen im Gebiete der nichtanalytischen Funktionen. Bull. Univ. Moscou, Sér. Int.1, No. 7, 1–74 (1938). · JFM 64.1156.02
[12] Peyser, G., Energy integrals for hyperbolic equations in several variables with multiple characteristics and constant coefficients. Trans. A. M. S.,108, 478–490 (1963). · Zbl 0171.07202 · doi:10.1090/S0002-9947-1963-0157112-1
[13] Strang, G., On strong hyperbolicity. Journ. Math. Kyoto Univ.,6, No. 3, 397–417 (1967). · Zbl 0174.15103
[14] Yamaguti, M., andKasahara, K., Sur le système hyperbolique à coefficients constants. Proc. Jap. Acad.,35, No. 9, 547–550 (1959). · Zbl 0098.29701 · doi:10.3792/pja/1195524212
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