Abstract:
t (t; x) +H(x;u 0 x (t; x)) = 0; (t; x) 2 ((0; T) r F) \Theta R n satisfying a prescribed initial condition are studied. It is assumed that F ae [0; T] is a compact Lebesgue null set. Solutions enjoying absolute continuity, in a certain sense, are proved to be uniquely determined, more precisely, equal to the value function. Furthermore, similar results are obtained for the equation f(t)u 0
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