Well posedness in C ∞ for a weakly hyperbolic second order equation
Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 65-83. 
@article{RSMUP_1994__91__65_0,
     author = {D'Ancona, Piero},
     title = {Well posedness in $C^\infty $ for a weakly hyperbolic second order equation},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {65--83},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {91},
     year = {1994},
     zbl = {0820.35097},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1994__91__65_0/}
}
TY  - JOUR
AU  - D'Ancona, Piero
TI  - Well posedness in $C^\infty $ for a weakly hyperbolic second order equation
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1994
SP  - 65
EP  - 83
VL  - 91
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1994__91__65_0/
LA  - en
ID  - RSMUP_1994__91__65_0
ER  - 
%0 Journal Article
%A D'Ancona, Piero
%T Well posedness in $C^\infty $ for a weakly hyperbolic second order equation
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1994
%P 65-83
%V 91
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1994__91__65_0/
%G en
%F RSMUP_1994__91__65_0
D'Ancona, Piero. Well posedness in $C^\infty $ for a weakly hyperbolic second order equation. Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 65-83. http://www.numdam.org/item/RSMUP_1994__91__65_0/

[CS] F. Colombini - S. Spagnolo, An example of a weakly hyperbolic Cauchy problem not well posed, Acta Math., 148 (1982), pp. 243-253. | MR | Zbl

[D] P. D'Ancona, Gevrey well posedness of an abstract Cauchy problem of weakly hyperbolic type, Publ. RIMS Kyoto Univ., 24 (1988), pp. 433-449. | MR | Zbl

[Fe] H. Federer, Geometric measure theory, Springer, Berlin (1969). | Zbl

[Gi] E. Giusti, Minimal surfaces and functions of bounded variation, Birkhaüser, Boston (1984). | MR | Zbl

[Ma] V. Maz'Ja, Sobolev Spaces, Springer, Berlin (1985). | MR

[Ni1] T. Nishitani, The Cauchy problem for weakly hyperbolic equations of second order, Comm. PDEs, 5 (1980), pp. 1273-1296. | MR | Zbl

[Ni2] T. Nishitani, Sur les équations hyperboliques à coefficients qui sont hölderiens en t et de classe de Gevrey en x, Sci. Math., 2e série, 107 (1983), pp. 113-138. | MR | Zbl

[Ni3] T. Nishitani, A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables, J. Math. Kyoto Univ., 24 (1984), pp. 91-104. | MR | Zbl

[O1] O.A. Oleinik, On the Cauchy problem for weakly hyperbolic equations, Comm. Pure Appl. Math., 23 (1970), pp. 569-586. | MR