The Cauchy problem for quasilinear, weakly hyperbolic equations with constant multiplicity is studied in Sobolev spaces. The class of equations considered allows one to impose the Levi condition on the linearized problem and to reduce the original Cauchy problem to a symmetric first-order system of hyperbolic equations. Results on the existence and uniqueness of a local smooth solution are proved.
The Cauchy problem for nonlinear hyperbolic equations with Levi conditions
ZANGHIRATI, Luisa
1999
Abstract
The Cauchy problem for quasilinear, weakly hyperbolic equations with constant multiplicity is studied in Sobolev spaces. The class of equations considered allows one to impose the Levi condition on the linearized problem and to reduce the original Cauchy problem to a symmetric first-order system of hyperbolic equations. Results on the existence and uniqueness of a local smooth solution are proved.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
