Authors: Ovidiu Cârjă, Mihai Necula, Ioan I. Vrabie
Abstract
We consider the hyperbolic system
u
t=a∇ν+f
1(u, ν),
ν
t=a∇u+f
2(u, ν),
u(0, x)=ξ(x),
ν(0, x)=η(x)
and we are looking for necessary and sufficient conditions on the forcing terms f
i, i=1, 2,
in order that the semigroup solutions, u and ν, starting from orthogonal data ξ, η∈L
2(ℜ
n), remain orthogonal on ℜ
+.
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