Record number :

1545991

Title of article :

Geometric Results for a Class of Hyperbolic Operators with Double Characteristics ,II.

Author/Authors :

Bernardi، نويسنده , , E. and Bove، نويسنده , , A. and Parenti، نويسنده , , C.، نويسنده ,

Issue Information :

روزنامه با شماره پیاپی سال 1993

Pages :

21

From page :

62

To page :

82

Abstract :

Let p be the principal symbol of a hyperbolic (pseudo) differential operator of order m admitting at most double characteristic roots. Suppose that at each point ρ of the double characteristic manifold Σ of p the Hamiltonian matrix of p, Fp, hasa Jordan block of dimension 4. We prove a necessary and sufficient condition on p in order that its bicharacteristic curves have limit points belonging to Σ. It is shown that if no bicharacteristic curve of p has a limit point belonging to Σ then the Cauchy problem for p is well-posed, provided the usual Levi conditions on thelower order terms are satisfied.

Journal title :

Journal of Functional Analysis

Serial Year :

1993

Link To Document :