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

Milena Petrini

Rendiconti del Seminario Matematico della Università di Padova (1995)

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

How to cite

top

Petrini, 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. [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. [2] E. Bernardi - A. Bove - C. Parenti, Hyperbolic operators with double characteristics, preprint. Zbl0677.47031
  3. [3] E. Bernardi A. Bove - C. Parenti, Geometric results for a class of hyperbolic operators with double characteristics, II, preprint. Zbl0798.35093MR1237986
  4. [4] L. Hörmander, TheCauchy problem for differential equations with double characteristics, J. An. Math., 32 (1977), pp. 118-196. Zbl0367.35054MR492751
  5. [5] L. Hörmander, The Analysis of Linear Partial Differential Operators I-VI, Springer-Verlag, Berlin (1985). Zbl0521.35001MR781537
  6. [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. [7] V. Ia.IVRII, Wave fronts of solutions of certain pseudodifferential equations, Trans. Moscov Math. Soc., 1 (1981), pp. 46-86. Zbl0461.35090
  8. [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. [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

NotesEmbed ?

top

You must be logged in to post comments.

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

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.