# A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics

Rendiconti del Seminario Matematico della Università di Padova (1995)

- Volume: 93, page 87-102
- ISSN: 0041-8994

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topPetrini, Milena. "A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics." Rendiconti del Seminario Matematico della Università di Padova 93 (1995): 87-102. <http://eudml.org/doc/108362>.

@article{Petrini1995,

author = {Petrini, Milena},

journal = {Rendiconti del Seminario Matematico della Università di Padova},

keywords = {principal symbol; hyperbolic differential operator; characteristic roots; Hamiltonian matrix; Jordan block; Levi conditions},

language = {eng},

pages = {87-102},

publisher = {Seminario Matematico of the University of Padua},

title = {A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics},

url = {http://eudml.org/doc/108362},

volume = {93},

year = {1995},

}

TY - JOUR

AU - Petrini, Milena

TI - A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics

JO - Rendiconti del Seminario Matematico della Università di Padova

PY - 1995

PB - Seminario Matematico of the University of Padua

VL - 93

SP - 87

EP - 102

LA - eng

KW - principal symbol; hyperbolic differential operator; characteristic roots; Hamiltonian matrix; Jordan block; Levi conditions

UR - http://eudml.org/doc/108362

ER -

## References

top- [1] E. Bernardi - A. Bove, Geometric results for a class of hyperbolic operators with double characteristics, Comm. Part. Diff. Eq., 13 (1) (1988), pp. 61-86. Zbl0646.35051MR914814
- [2] E. Bernardi - A. Bove - C. Parenti, Hyperbolic operators with double characteristics, preprint. Zbl0677.47031
- [3] E. Bernardi A. Bove - C. Parenti, Geometric results for a class of hyperbolic operators with double characteristics, II, preprint. Zbl0798.35093MR1237986
- [4] L. Hörmander, TheCauchy problem for differential equations with double characteristics, J. An. Math., 32 (1977), pp. 118-196. Zbl0367.35054MR492751
- [5] L. Hörmander, The Analysis of Linear Partial Differential Operators I-VI, Springer-Verlag, Berlin (1985). Zbl0521.35001MR781537
- [6] V. Ia.IVRII, The well posedness of the Cauchy problem for non strictly hyperbolic operators III. The energy integral, Trans. Moscow Math. Soc., 34 (1978), pp. 149-168. Zbl0403.35060
- [7] V. Ia.IVRII, Wave fronts of solutions of certain pseudodifferential equations, Trans. Moscov Math. Soc., 1 (1981), pp. 46-86. Zbl0461.35090
- [8] V. Ia.IVRII, Wave fronts of solutions of certain hyperbolic pseudodifferential equations, Trans. Moscow Math. Soc., 1 (1981), pp. 87-119. Zbl0461.35089
- [9] V. Ia. Ivrii - V.M. Petkov, Necessary conditions for the Cauchy problem for non strictly hyperbolic equations to be well-posed, Uspehi Mat. Nauk., 29 (1974), pp. 3-70. Zbl0312.35049MR427843

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