P.H. Trinh

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vpde_lecture32 [2020/04/16 13:33]
trinh [Section 19.1: Uniqueness for zero Dirichlet heat equation]
vpde_lecture32 [2020/04/16 13:33]
trinh [Section 19.1: Uniqueness for zero Dirichlet heat equation]
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 E(t) \equiv 0  E(t) \equiv 0 
 $$ $$
-for all time. Looking at the form of the integrand, you would conclude that +for all time. Looking at the form of the integrand, you would conclude that the only way this occurs is if the integrand is itself zero, or 
 $$ $$
 w^2(x, t) = 0  w^2(x, t) = 0