Problème de Cauchy ramifié pour une classe d’opérateurs à caractéristiques tangentes. (Ramified Cauchy problem for a class of operators having tangent characteristics). (French) Zbl 0607.35008

We study the ramified Cauchy problem for operators of second order with principal symbol \(\xi_ 0(\xi_ 0+qx_ 0^{q-1}\xi_ 1)\) where q is an integer \(\geq 2\); we use the representation theorem proved by the author [J. Math. Pures Appl., IX. Ser. 62, 99-127 (1983; Zbl 0545.35005)].


35A20 Analyticity in context of PDEs
35G10 Initial value problems for linear higher-order PDEs


Zbl 0545.35005