# Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity

Rendiconti del Seminario Matematico della Università di Padova (1992)

- Volume: 88, page 263-280
- ISSN: 0041-8994

## Access Full Article

top## How to cite

topSordoni, V.. "Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity." Rendiconti del Seminario Matematico della Università di Padova 88 (1992): 263-280. <http://eudml.org/doc/108275>.

@article{Sordoni1992,

author = {Sordoni, V.},

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

keywords = {well-posedness of the Cauchy problem},

language = {eng},

pages = {263-280},

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

title = {Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity},

url = {http://eudml.org/doc/108275},

volume = {88},

year = {1992},

}

TY - JOUR

AU - Sordoni, V.

TI - Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity

JO - Rendiconti del Seminario Matematico della Università di Padova

PY - 1992

PB - Seminario Matematico of the University of Padua

VL - 88

SP - 263

EP - 280

LA - eng

KW - well-posedness of the Cauchy problem

UR - http://eudml.org/doc/108275

ER -

## References

top- [1] E. Bernardi - A. Bove - C. Parenti, Hyperbolic operators with double characteristics, preprint (1988). Zbl0677.47031
- [2] E. Bernardi - A. BOVE, Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with triple charcteristics, J. An. Math., 54 (1990), pp. 21-59. Zbl0713.35049MR1041174
- [3] J. Chazarain, Opérateurs hyperboliques a caractéristiques de multiplicité constante, Ann. Inst. Fourier, 24, I (1974), pp. 173-202. Zbl0274.35045MR390512
- [4] A. Grigis, Hypoellipticité et paramétrix pour des opérateurs pseudodifferéntiels a caractéristique doubles, Astérisque, 34-35 (1976), pp. 183-205. Zbl0344.35019MR488185
- [5] L. Hörmander, The Cauchy problem for differential equations with double characteristics, J. An. Math., 32 (1977), pp. 118-196. Zbl0367.35054MR492751
- [6] 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
- [7] T. Okaji, The Cauchy problem for non-effectively hyperbolic differential operators and their product, J. Math. Kyoto Univ., 29-2 (1989), pp. 317-340. Zbl0714.35044MR1015874
- [8] O.V. Zaitseva - V. IA. IVRII, On the well-posedness of the Cauchy problem for certain hyperbolic operators with characteristics of high variable multiplicity, Common. Moscow Math. Soc., 37 (1982), pp. 225-226. Zbl0548.35002MR676906

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.