Hyperbolic problems with totally characteristic boundary

We study first-order symmetrizable hyperbolic N × N systems in a spacetime cylinder whose lateral boundary is totally characteristic. In local coordinates near the boundary at x = 0 , these systems take the form ∂ t u + A ( t , x , y , x D x , D y ) u = f ( t , x , y ) , ( t , x , y ) ∈ ( 0 , T ) ×...

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