2.2 .8\ Let

C!=0

. Prove that if the initial data satisfies

U(0,x)=V(x)->0

, as

x->+-\\\\infty

then, for each fixed

x

, the solution to the transport equation

(2,4)

satisfies

U(t,x)->0

as

t->\\\\infty

.

2.2 .8 Let c=0. Prove that if the initial data satisfies U(0,x)=V(x)0, as x then, for each fixed x, the solution to the transport equation (2,4) satisfies U(t,x)0 as t