Existence and uniqueness is established for spatio-characteristic second-order quasilinear hyperbolic problems in weighted Sobolev-type spaces under finite differentiability assumptions.
Wamon,Espaces de Sobolev et´equations hyperboliques sur des vari t´es riemanniennes, Annales de la facult´edes sciences de Toulouse6e s´erie, tonne 10,n0.3 p
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Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data
Existence and uniqueness is established for spatio-characteristic second-order quasilinear hyperbolic problems in weighted Sobolev-type spaces under finite differentiability assumptions.