Existence and uniqueness is established for spatio-characteristic second-order quasilinear hyperbolic problems in weighted Sobolev-type spaces under finite differentiability assumptions.
Dossa,Espaces de Sobolev non isotropes`apoids et probl`emes de Cauchy quasi-lin´eaires sur un cono¨ide caract´eristique, Ann
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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.